(x-1)(x-2)(x-5)(x+2)=13

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Solution for (x-1)(x-2)(x-5)(x+2)=13 equation:


Simplifying
(x + -1)(x + -2)(x + -5)(x + 2) = 13

Reorder the terms:
(-1 + x)(x + -2)(x + -5)(x + 2) = 13

Reorder the terms:
(-1 + x)(-2 + x)(x + -5)(x + 2) = 13

Reorder the terms:
(-1 + x)(-2 + x)(-5 + x)(x + 2) = 13

Reorder the terms:
(-1 + x)(-2 + x)(-5 + x)(2 + x) = 13

Multiply (-1 + x) * (-2 + x)
(-1(-2 + x) + x(-2 + x))(-5 + x)(2 + x) = 13
((-2 * -1 + x * -1) + x(-2 + x))(-5 + x)(2 + x) = 13
((2 + -1x) + x(-2 + x))(-5 + x)(2 + x) = 13
(2 + -1x + (-2 * x + x * x))(-5 + x)(2 + x) = 13
(2 + -1x + (-2x + x2))(-5 + x)(2 + x) = 13

Combine like terms: -1x + -2x = -3x
(2 + -3x + x2)(-5 + x)(2 + x) = 13

Multiply (2 + -3x + x2) * (-5 + x)
(2(-5 + x) + -3x * (-5 + x) + x2(-5 + x))(2 + x) = 13
((-5 * 2 + x * 2) + -3x * (-5 + x) + x2(-5 + x))(2 + x) = 13
((-10 + 2x) + -3x * (-5 + x) + x2(-5 + x))(2 + x) = 13
(-10 + 2x + (-5 * -3x + x * -3x) + x2(-5 + x))(2 + x) = 13
(-10 + 2x + (15x + -3x2) + x2(-5 + x))(2 + x) = 13
(-10 + 2x + 15x + -3x2 + (-5 * x2 + x * x2))(2 + x) = 13
(-10 + 2x + 15x + -3x2 + (-5x2 + x3))(2 + x) = 13

Combine like terms: 2x + 15x = 17x
(-10 + 17x + -3x2 + -5x2 + x3)(2 + x) = 13

Combine like terms: -3x2 + -5x2 = -8x2
(-10 + 17x + -8x2 + x3)(2 + x) = 13

Multiply (-10 + 17x + -8x2 + x3) * (2 + x)
(-10(2 + x) + 17x * (2 + x) + -8x2 * (2 + x) + x3(2 + x)) = 13
((2 * -10 + x * -10) + 17x * (2 + x) + -8x2 * (2 + x) + x3(2 + x)) = 13
((-20 + -10x) + 17x * (2 + x) + -8x2 * (2 + x) + x3(2 + x)) = 13
(-20 + -10x + (2 * 17x + x * 17x) + -8x2 * (2 + x) + x3(2 + x)) = 13
(-20 + -10x + (34x + 17x2) + -8x2 * (2 + x) + x3(2 + x)) = 13
(-20 + -10x + 34x + 17x2 + (2 * -8x2 + x * -8x2) + x3(2 + x)) = 13
(-20 + -10x + 34x + 17x2 + (-16x2 + -8x3) + x3(2 + x)) = 13
(-20 + -10x + 34x + 17x2 + -16x2 + -8x3 + (2 * x3 + x * x3)) = 13
(-20 + -10x + 34x + 17x2 + -16x2 + -8x3 + (2x3 + x4)) = 13

Combine like terms: -10x + 34x = 24x
(-20 + 24x + 17x2 + -16x2 + -8x3 + 2x3 + x4) = 13

Combine like terms: 17x2 + -16x2 = 1x2
(-20 + 24x + 1x2 + -8x3 + 2x3 + x4) = 13

Combine like terms: -8x3 + 2x3 = -6x3
(-20 + 24x + 1x2 + -6x3 + x4) = 13

Solving
-20 + 24x + 1x2 + -6x3 + x4 = 13

Solving for variable 'x'.

Reorder the terms:
-20 + -13 + 24x + 1x2 + -6x3 + x4 = 13 + -13

Combine like terms: -20 + -13 = -33
-33 + 24x + 1x2 + -6x3 + x4 = 13 + -13

Combine like terms: 13 + -13 = 0
-33 + 24x + 1x2 + -6x3 + x4 = 0

The solution to this equation could not be determined.

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