(x-1)(x+2)(x-7)(x+8)=0

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Solution for (x-1)(x+2)(x-7)(x+8)=0 equation:


Simplifying
(x + -1)(x + 2)(x + -7)(x + 8) = 0

Reorder the terms:
(-1 + x)(x + 2)(x + -7)(x + 8) = 0

Reorder the terms:
(-1 + x)(2 + x)(x + -7)(x + 8) = 0

Reorder the terms:
(-1 + x)(2 + x)(-7 + x)(x + 8) = 0

Reorder the terms:
(-1 + x)(2 + x)(-7 + x)(8 + x) = 0

Multiply (-1 + x) * (2 + x)
(-1(2 + x) + x(2 + x))(-7 + x)(8 + x) = 0
((2 * -1 + x * -1) + x(2 + x))(-7 + x)(8 + x) = 0
((-2 + -1x) + x(2 + x))(-7 + x)(8 + x) = 0
(-2 + -1x + (2 * x + x * x))(-7 + x)(8 + x) = 0
(-2 + -1x + (2x + x2))(-7 + x)(8 + x) = 0

Combine like terms: -1x + 2x = 1x
(-2 + 1x + x2)(-7 + x)(8 + x) = 0

Multiply (-2 + 1x + x2) * (-7 + x)
(-2(-7 + x) + 1x * (-7 + x) + x2(-7 + x))(8 + x) = 0
((-7 * -2 + x * -2) + 1x * (-7 + x) + x2(-7 + x))(8 + x) = 0
((14 + -2x) + 1x * (-7 + x) + x2(-7 + x))(8 + x) = 0
(14 + -2x + (-7 * 1x + x * 1x) + x2(-7 + x))(8 + x) = 0
(14 + -2x + (-7x + 1x2) + x2(-7 + x))(8 + x) = 0
(14 + -2x + -7x + 1x2 + (-7 * x2 + x * x2))(8 + x) = 0
(14 + -2x + -7x + 1x2 + (-7x2 + x3))(8 + x) = 0

Combine like terms: -2x + -7x = -9x
(14 + -9x + 1x2 + -7x2 + x3)(8 + x) = 0

Combine like terms: 1x2 + -7x2 = -6x2
(14 + -9x + -6x2 + x3)(8 + x) = 0

Multiply (14 + -9x + -6x2 + x3) * (8 + x)
(14(8 + x) + -9x * (8 + x) + -6x2 * (8 + x) + x3(8 + x)) = 0
((8 * 14 + x * 14) + -9x * (8 + x) + -6x2 * (8 + x) + x3(8 + x)) = 0
((112 + 14x) + -9x * (8 + x) + -6x2 * (8 + x) + x3(8 + x)) = 0
(112 + 14x + (8 * -9x + x * -9x) + -6x2 * (8 + x) + x3(8 + x)) = 0
(112 + 14x + (-72x + -9x2) + -6x2 * (8 + x) + x3(8 + x)) = 0
(112 + 14x + -72x + -9x2 + (8 * -6x2 + x * -6x2) + x3(8 + x)) = 0
(112 + 14x + -72x + -9x2 + (-48x2 + -6x3) + x3(8 + x)) = 0
(112 + 14x + -72x + -9x2 + -48x2 + -6x3 + (8 * x3 + x * x3)) = 0
(112 + 14x + -72x + -9x2 + -48x2 + -6x3 + (8x3 + x4)) = 0

Combine like terms: 14x + -72x = -58x
(112 + -58x + -9x2 + -48x2 + -6x3 + 8x3 + x4) = 0

Combine like terms: -9x2 + -48x2 = -57x2
(112 + -58x + -57x2 + -6x3 + 8x3 + x4) = 0

Combine like terms: -6x3 + 8x3 = 2x3
(112 + -58x + -57x2 + 2x3 + x4) = 0

Solving
112 + -58x + -57x2 + 2x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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