(x-2)(x-1)(x+2)(x-5)=-36

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Solution for (x-2)(x-1)(x+2)(x-5)=-36 equation:


Simplifying
(x + -2)(x + -1)(x + 2)(x + -5) = -36

Reorder the terms:
(-2 + x)(x + -1)(x + 2)(x + -5) = -36

Reorder the terms:
(-2 + x)(-1 + x)(x + 2)(x + -5) = -36

Reorder the terms:
(-2 + x)(-1 + x)(2 + x)(x + -5) = -36

Reorder the terms:
(-2 + x)(-1 + x)(2 + x)(-5 + x) = -36

Multiply (-2 + x) * (-1 + x)
(-2(-1 + x) + x(-1 + x))(2 + x)(-5 + x) = -36
((-1 * -2 + x * -2) + x(-1 + x))(2 + x)(-5 + x) = -36
((2 + -2x) + x(-1 + x))(2 + x)(-5 + x) = -36
(2 + -2x + (-1 * x + x * x))(2 + x)(-5 + x) = -36
(2 + -2x + (-1x + x2))(2 + x)(-5 + x) = -36

Combine like terms: -2x + -1x = -3x
(2 + -3x + x2)(2 + x)(-5 + x) = -36

Multiply (2 + -3x + x2) * (2 + x)
(2(2 + x) + -3x * (2 + x) + x2(2 + x))(-5 + x) = -36
((2 * 2 + x * 2) + -3x * (2 + x) + x2(2 + x))(-5 + x) = -36
((4 + 2x) + -3x * (2 + x) + x2(2 + x))(-5 + x) = -36
(4 + 2x + (2 * -3x + x * -3x) + x2(2 + x))(-5 + x) = -36
(4 + 2x + (-6x + -3x2) + x2(2 + x))(-5 + x) = -36
(4 + 2x + -6x + -3x2 + (2 * x2 + x * x2))(-5 + x) = -36
(4 + 2x + -6x + -3x2 + (2x2 + x3))(-5 + x) = -36

Combine like terms: 2x + -6x = -4x
(4 + -4x + -3x2 + 2x2 + x3)(-5 + x) = -36

Combine like terms: -3x2 + 2x2 = -1x2
(4 + -4x + -1x2 + x3)(-5 + x) = -36

Multiply (4 + -4x + -1x2 + x3) * (-5 + x)
(4(-5 + x) + -4x * (-5 + x) + -1x2 * (-5 + x) + x3(-5 + x)) = -36
((-5 * 4 + x * 4) + -4x * (-5 + x) + -1x2 * (-5 + x) + x3(-5 + x)) = -36
((-20 + 4x) + -4x * (-5 + x) + -1x2 * (-5 + x) + x3(-5 + x)) = -36
(-20 + 4x + (-5 * -4x + x * -4x) + -1x2 * (-5 + x) + x3(-5 + x)) = -36
(-20 + 4x + (20x + -4x2) + -1x2 * (-5 + x) + x3(-5 + x)) = -36
(-20 + 4x + 20x + -4x2 + (-5 * -1x2 + x * -1x2) + x3(-5 + x)) = -36
(-20 + 4x + 20x + -4x2 + (5x2 + -1x3) + x3(-5 + x)) = -36
(-20 + 4x + 20x + -4x2 + 5x2 + -1x3 + (-5 * x3 + x * x3)) = -36
(-20 + 4x + 20x + -4x2 + 5x2 + -1x3 + (-5x3 + x4)) = -36

Combine like terms: 4x + 20x = 24x
(-20 + 24x + -4x2 + 5x2 + -1x3 + -5x3 + x4) = -36

Combine like terms: -4x2 + 5x2 = 1x2
(-20 + 24x + 1x2 + -1x3 + -5x3 + x4) = -36

Combine like terms: -1x3 + -5x3 = -6x3
(-20 + 24x + 1x2 + -6x3 + x4) = -36

Solving
-20 + 24x + 1x2 + -6x3 + x4 = -36

Solving for variable 'x'.

Reorder the terms:
-20 + 36 + 24x + 1x2 + -6x3 + x4 = -36 + 36

Combine like terms: -20 + 36 = 16
16 + 24x + 1x2 + -6x3 + x4 = -36 + 36

Combine like terms: -36 + 36 = 0
16 + 24x + 1x2 + -6x3 + x4 = 0

The solution to this equation could not be determined.

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