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## Solution for (x+1)(x+2)(x+3)(x+4)-24=0 equation:

Simplifying(x + 1)(x + 2)(x + 3)(x + 4) + -24 = 0Reorder the terms:(1 + x)(x + 2)(x + 3)(x + 4) + -24 = 0Reorder the terms:(1 + x)(2 + x)(x + 3)(x + 4) + -24 = 0Reorder the terms:(1 + x)(2 + x)(3 + x)(x + 4) + -24 = 0Reorder the terms:(1 + x)(2 + x)(3 + x)(4 + x) + -24 = 0Multiply (1 + x) * (2 + x)(1(2 + x) + x(2 + x))(3 + x)(4 + x) + -24 = 0((2 * 1 + x * 1) + x(2 + x))(3 + x)(4 + x) + -24 = 0((2 + 1x) + x(2 + x))(3 + x)(4 + x) + -24 = 0(2 + 1x + (2 * x + x * x))(3 + x)(4 + x) + -24 = 0(2 + 1x + (2x + x2))(3 + x)(4 + x) + -24 = 0Combine like terms: 1x + 2x = 3x(2 + 3x + x2)(3 + x)(4 + x) + -24 = 0Multiply (2 + 3x + x2) * (3 + x)(2(3 + x) + 3x * (3 + x) + x2(3 + x))(4 + x) + -24 = 0((3 * 2 + x * 2) + 3x * (3 + x) + x2(3 + x))(4 + x) + -24 = 0((6 + 2x) + 3x * (3 + x) + x2(3 + x))(4 + x) + -24 = 0(6 + 2x + (3 * 3x + x * 3x) + x2(3 + x))(4 + x) + -24 = 0(6 + 2x + (9x + 3x2) + x2(3 + x))(4 + x) + -24 = 0(6 + 2x + 9x + 3x2 + (3 * x2 + x * x2))(4 + x) + -24 = 0(6 + 2x + 9x + 3x2 + (3x2 + x3))(4 + x) + -24 = 0Combine like terms: 2x + 9x = 11x(6 + 11x + 3x2 + 3x2 + x3)(4 + x) + -24 = 0Combine like terms: 3x2 + 3x2 = 6x2(6 + 11x + 6x2 + x3)(4 + x) + -24 = 0Multiply (6 + 11x + 6x2 + x3) * (4 + x)(6(4 + x) + 11x * (4 + x) + 6x2 * (4 + x) + x3(4 + x)) + -24 = 0((4 * 6 + x * 6) + 11x * (4 + x) + 6x2 * (4 + x) + x3(4 + x)) + -24 = 0((24 + 6x) + 11x * (4 + x) + 6x2 * (4 + x) + x3(4 + x)) + -24 = 0(24 + 6x + (4 * 11x + x * 11x) + 6x2 * (4 + x) + x3(4 + x)) + -24 = 0(24 + 6x + (44x + 11x2) + 6x2 * (4 + x) + x3(4 + x)) + -24 = 0(24 + 6x + 44x + 11x2 + (4 * 6x2 + x * 6x2) + x3(4 + x)) + -24 = 0(24 + 6x + 44x + 11x2 + (24x2 + 6x3) + x3(4 + x)) + -24 = 0(24 + 6x + 44x + 11x2 + 24x2 + 6x3 + (4 * x3 + x * x3)) + -24 = 0(24 + 6x + 44x + 11x2 + 24x2 + 6x3 + (4x3 + x4)) + -24 = 0Combine lượt thích terms: 6x + 44x = 50x(24 + 50x + 11x2 + 24x2 + 6x3 + 4x3 + x4) + -24 = 0Combine lượt thích terms: 11x2 + 24x2 = 35x2(24 + 50x + 35x2 + 6x3 + 4x3 + x4) + -24 = 0Combine lượt thích terms: 6x3 + 4x3 = 10x3(24 + 50x + 35x2 + 10x3 + x4) + -24 = 0Reorder the terms:24 + -24 + 50x + 35x2 + 10x3 + x4 = 0Combine lượt thích terms: 24 + -24 = 00 + 50x + 35x2 + 10x3 + x4 = 050x + 35x2 + 10x3 + x4 = 0Solving50x + 35x2 + 10x3 + x4 = 0Solving for variable "x".Factor out the Greatest Common Factor (GCF), "x".x(50 + 35x + 10x2 + x3) = 0Subproblem 1Set the factor "x" equal khổng lồ zero và attempt to solve:Simplifyingx = 0Solvingx = 0Move all terms containing x lớn the left, all other terms to the right.Simplifyingx = 0Subproblem 2Set the factor "(50 + 35x + 10x2 + x3)" equal to zero & attempt to lớn solve:Simplifying50 + 35x + 10x2 + x3 = 0Solving50 + 35x + 10x2 + x3 = 0The solution to lớn this equation could not be determined.This subproblem is being ignored because a solution could not be determined.Solutionx = 0

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