(x-8)(x-7)=(x+9)(x+9)

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Solution for (x-8)(x-7)=(x+9)(x+9) equation: 


Simplifying
(x + -8)(x + -7) = (x + 9)(x + 9)

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

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

Multiply (-8 + x) * (-7 + x)
(-8(-7 + x) + x(-7 + x)) = (x + 9)(x + 9)
((-7 * -8 + x * -8) + x(-7 + x)) = (x + 9)(x + 9)
((56 + -8x) + x(-7 + x)) = (x + 9)(x + 9)
(56 + -8x + (-7 * x + x * x)) = (x + 9)(x + 9)
(56 + -8x + (-7x + x2)) = (x + 9)(x + 9)

Combine like terms: -8x + -7x = -15x
(56 + -15x + x2) = (x + 9)(x + 9)

Reorder the terms:
56 + -15x + x2 = (9 + x)(x + 9)

Reorder the terms:
56 + -15x + x2 = (9 + x)(9 + x)

Multiply (9 + x) * (9 + x)
56 + -15x + x2 = (9(9 + x) + x(9 + x))
56 + -15x + x2 = ((9 * 9 + x * 9) + x(9 + x))
56 + -15x + x2 = ((81 + 9x) + x(9 + x))
56 + -15x + x2 = (81 + 9x + (9 * x + x * x))
56 + -15x + x2 = (81 + 9x + (9x + x2))

Combine like terms: 9x + 9x = 18x
56 + -15x + x2 = (81 + 18x + x2)

Add '-1x2' to each side of the equation.
56 + -15x + x2 + -1x2 = 81 + 18x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
56 + -15x + 0 = 81 + 18x + x2 + -1x2
56 + -15x = 81 + 18x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
56 + -15x = 81 + 18x + 0
56 + -15x = 81 + 18x

Solving
56 + -15x = 81 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
56 + -15x + -18x = 81 + 18x + -18x

Combine like terms: -15x + -18x = -33x
56 + -33x = 81 + 18x + -18x

Combine like terms: 18x + -18x = 0
56 + -33x = 81 + 0
56 + -33x = 81

Add '-56' to each side of the equation.
56 + -56 + -33x = 81 + -56

Combine like terms: 56 + -56 = 0
0 + -33x = 81 + -56
-33x = 81 + -56

Combine like terms: 81 + -56 = 25
-33x = 25

Divide each side by '-33'.
x = -0.7575757576

Simplifying
x = -0.7575757576

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