(x-2)(x-3)(x-4)(x-5)=24

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Solution for (x-2)(x-3)(x-4)(x-5)=24 equation: 


Simplifying
(x + -2)(x + -3)(x + -4)(x + -5) = 24

Reorder the terms:
(-2 + x)(x + -3)(x + -4)(x + -5) = 24

Reorder the terms:
(-2 + x)(-3 + x)(x + -4)(x + -5) = 24

Reorder the terms:
(-2 + x)(-3 + x)(-4 + x)(x + -5) = 24

Reorder the terms:
(-2 + x)(-3 + x)(-4 + x)(-5 + x) = 24

Multiply (-2 + x) * (-3 + x)
(-2(-3 + x) + x(-3 + x))(-4 + x)(-5 + x) = 24
((-3 * -2 + x * -2) + x(-3 + x))(-4 + x)(-5 + x) = 24
((6 + -2x) + x(-3 + x))(-4 + x)(-5 + x) = 24
(6 + -2x + (-3 * x + x * x))(-4 + x)(-5 + x) = 24
(6 + -2x + (-3x + x2))(-4 + x)(-5 + x) = 24

Combine like terms: -2x + -3x = -5x
(6 + -5x + x2)(-4 + x)(-5 + x) = 24

Multiply (6 + -5x + x2) * (-4 + x)
(6(-4 + x) + -5x * (-4 + x) + x2(-4 + x))(-5 + x) = 24
((-4 * 6 + x * 6) + -5x * (-4 + x) + x2(-4 + x))(-5 + x) = 24
((-24 + 6x) + -5x * (-4 + x) + x2(-4 + x))(-5 + x) = 24
(-24 + 6x + (-4 * -5x + x * -5x) + x2(-4 + x))(-5 + x) = 24
(-24 + 6x + (20x + -5x2) + x2(-4 + x))(-5 + x) = 24
(-24 + 6x + 20x + -5x2 + (-4 * x2 + x * x2))(-5 + x) = 24
(-24 + 6x + 20x + -5x2 + (-4x2 + x3))(-5 + x) = 24

Combine like terms: 6x + 20x = 26x
(-24 + 26x + -5x2 + -4x2 + x3)(-5 + x) = 24

Combine like terms: -5x2 + -4x2 = -9x2
(-24 + 26x + -9x2 + x3)(-5 + x) = 24

Multiply (-24 + 26x + -9x2 + x3) * (-5 + x)
(-24(-5 + x) + 26x * (-5 + x) + -9x2 * (-5 + x) + x3(-5 + x)) = 24
((-5 * -24 + x * -24) + 26x * (-5 + x) + -9x2 * (-5 + x) + x3(-5 + x)) = 24
((120 + -24x) + 26x * (-5 + x) + -9x2 * (-5 + x) + x3(-5 + x)) = 24
(120 + -24x + (-5 * 26x + x * 26x) + -9x2 * (-5 + x) + x3(-5 + x)) = 24
(120 + -24x + (-130x + 26x2) + -9x2 * (-5 + x) + x3(-5 + x)) = 24
(120 + -24x + -130x + 26x2 + (-5 * -9x2 + x * -9x2) + x3(-5 + x)) = 24
(120 + -24x + -130x + 26x2 + (45x2 + -9x3) + x3(-5 + x)) = 24
(120 + -24x + -130x + 26x2 + 45x2 + -9x3 + (-5 * x3 + x * x3)) = 24
(120 + -24x + -130x + 26x2 + 45x2 + -9x3 + (-5x3 + x4)) = 24

Combine like terms: -24x + -130x = -154x
(120 + -154x + 26x2 + 45x2 + -9x3 + -5x3 + x4) = 24

Combine like terms: 26x2 + 45x2 = 71x2
(120 + -154x + 71x2 + -9x3 + -5x3 + x4) = 24

Combine like terms: -9x3 + -5x3 = -14x3
(120 + -154x + 71x2 + -14x3 + x4) = 24

Solving
120 + -154x + 71x2 + -14x3 + x4 = 24

Solving for variable 'x'.

Reorder the terms:
120 + -24 + -154x + 71x2 + -14x3 + x4 = 24 + -24

Combine like terms: 120 + -24 = 96
96 + -154x + 71x2 + -14x3 + x4 = 24 + -24

Combine like terms: 24 + -24 = 0
96 + -154x + 71x2 + -14x3 + x4 = 0

The solution to this equation could not be determined.

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