(x+1)(x+2)(x-3)(x-4)=24

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


Simplifying
(x + 1)(x + 2)(x + -3)(x + -4) = 24

Reorder the terms:
(1 + x)(x + 2)(x + -3)(x + -4) = 24

Reorder the terms:
(1 + x)(2 + x)(x + -3)(x + -4) = 24

Reorder the terms:
(1 + x)(2 + x)(-3 + x)(x + -4) = 24

Reorder the terms:
(1 + x)(2 + x)(-3 + x)(-4 + x) = 24

Multiply (1 + x) * (2 + x)
(1(2 + x) + x(2 + x))(-3 + x)(-4 + x) = 24
((2 * 1 + x * 1) + x(2 + x))(-3 + x)(-4 + x) = 24
((2 + 1x) + x(2 + x))(-3 + x)(-4 + x) = 24
(2 + 1x + (2 * x + x * x))(-3 + x)(-4 + x) = 24
(2 + 1x + (2x + x2))(-3 + x)(-4 + x) = 24

Combine like terms: 1x + 2x = 3x
(2 + 3x + x2)(-3 + x)(-4 + x) = 24

Multiply (2 + 3x + x2) * (-3 + x)
(2(-3 + x) + 3x * (-3 + x) + x2(-3 + x))(-4 + x) = 24
((-3 * 2 + x * 2) + 3x * (-3 + x) + x2(-3 + x))(-4 + x) = 24
((-6 + 2x) + 3x * (-3 + x) + x2(-3 + x))(-4 + x) = 24
(-6 + 2x + (-3 * 3x + x * 3x) + x2(-3 + x))(-4 + x) = 24
(-6 + 2x + (-9x + 3x2) + x2(-3 + x))(-4 + x) = 24
(-6 + 2x + -9x + 3x2 + (-3 * x2 + x * x2))(-4 + x) = 24
(-6 + 2x + -9x + 3x2 + (-3x2 + x3))(-4 + x) = 24

Combine like terms: 2x + -9x = -7x
(-6 + -7x + 3x2 + -3x2 + x3)(-4 + x) = 24

Combine like terms: 3x2 + -3x2 = 0
(-6 + -7x + 0 + x3)(-4 + x) = 24
(-6 + -7x + x3)(-4 + x) = 24

Multiply (-6 + -7x + x3) * (-4 + x)
(-6(-4 + x) + -7x * (-4 + x) + x3(-4 + x)) = 24
((-4 * -6 + x * -6) + -7x * (-4 + x) + x3(-4 + x)) = 24
((24 + -6x) + -7x * (-4 + x) + x3(-4 + x)) = 24
(24 + -6x + (-4 * -7x + x * -7x) + x3(-4 + x)) = 24
(24 + -6x + (28x + -7x2) + x3(-4 + x)) = 24
(24 + -6x + 28x + -7x2 + (-4 * x3 + x * x3)) = 24
(24 + -6x + 28x + -7x2 + (-4x3 + x4)) = 24

Combine like terms: -6x + 28x = 22x
(24 + 22x + -7x2 + -4x3 + x4) = 24

Add '-24' to each side of the equation.
24 + 22x + -7x2 + -4x3 + -24 + x4 = 24 + -24

Reorder the terms:
24 + -24 + 22x + -7x2 + -4x3 + x4 = 24 + -24

Combine like terms: 24 + -24 = 0
0 + 22x + -7x2 + -4x3 + x4 = 24 + -24
22x + -7x2 + -4x3 + x4 = 24 + -24

Combine like terms: 24 + -24 = 0
22x + -7x2 + -4x3 + x4 = 0

Solving
22x + -7x2 + -4x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(22 + -7x + -4x2 + x3) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(22 + -7x + -4x2 + x3)' equal to zero and attempt to solve:

Simplifying
22 + -7x + -4x2 + x3 = 0

Solving
22 + -7x + -4x2 + x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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