(x+8)(x-1)=(2x+9)(x-1)

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Solution for (x+8)(x-1)=(2x+9)(x-1) equation: 


Simplifying
(x + 8)(x + -1) = (2x + 9)(x + -1)

Reorder the terms:
(8 + x)(x + -1) = (2x + 9)(x + -1)

Reorder the terms:
(8 + x)(-1 + x) = (2x + 9)(x + -1)

Multiply (8 + x) * (-1 + x)
(8(-1 + x) + x(-1 + x)) = (2x + 9)(x + -1)
((-1 * 8 + x * 8) + x(-1 + x)) = (2x + 9)(x + -1)
((-8 + 8x) + x(-1 + x)) = (2x + 9)(x + -1)
(-8 + 8x + (-1 * x + x * x)) = (2x + 9)(x + -1)
(-8 + 8x + (-1x + x2)) = (2x + 9)(x + -1)

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

Reorder the terms:
-8 + 7x + x2 = (9 + 2x)(x + -1)

Reorder the terms:
-8 + 7x + x2 = (9 + 2x)(-1 + x)

Multiply (9 + 2x) * (-1 + x)
-8 + 7x + x2 = (9(-1 + x) + 2x * (-1 + x))
-8 + 7x + x2 = ((-1 * 9 + x * 9) + 2x * (-1 + x))
-8 + 7x + x2 = ((-9 + 9x) + 2x * (-1 + x))
-8 + 7x + x2 = (-9 + 9x + (-1 * 2x + x * 2x))
-8 + 7x + x2 = (-9 + 9x + (-2x + 2x2))

Combine like terms: 9x + -2x = 7x
-8 + 7x + x2 = (-9 + 7x + 2x2)

Add '-7x' to each side of the equation.
-8 + 7x + -7x + x2 = -9 + 7x + -7x + 2x2

Combine like terms: 7x + -7x = 0
-8 + 0 + x2 = -9 + 7x + -7x + 2x2
-8 + x2 = -9 + 7x + -7x + 2x2

Combine like terms: 7x + -7x = 0
-8 + x2 = -9 + 0 + 2x2
-8 + x2 = -9 + 2x2

Solving
-8 + x2 = -9 + 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
-8 + x2 + -2x2 = -9 + 2x2 + -2x2

Combine like terms: x2 + -2x2 = -1x2
-8 + -1x2 = -9 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-8 + -1x2 = -9 + 0
-8 + -1x2 = -9

Add '8' to each side of the equation.
-8 + 8 + -1x2 = -9 + 8

Combine like terms: -8 + 8 = 0
0 + -1x2 = -9 + 8
-1x2 = -9 + 8

Combine like terms: -9 + 8 = -1
-1x2 = -1

Divide each side by '-1'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}

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