(x-6)(x-5)=(x+7)(x+7)

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Solution for (x-6)(x-5)=(x+7)(x+7) equation: 


Simplifying
(x + -6)(x + -5) = (x + 7)(x + 7)

Reorder the terms:
(-6 + x)(x + -5) = (x + 7)(x + 7)

Reorder the terms:
(-6 + x)(-5 + x) = (x + 7)(x + 7)

Multiply (-6 + x) * (-5 + x)
(-6(-5 + x) + x(-5 + x)) = (x + 7)(x + 7)
((-5 * -6 + x * -6) + x(-5 + x)) = (x + 7)(x + 7)
((30 + -6x) + x(-5 + x)) = (x + 7)(x + 7)
(30 + -6x + (-5 * x + x * x)) = (x + 7)(x + 7)
(30 + -6x + (-5x + x2)) = (x + 7)(x + 7)

Combine like terms: -6x + -5x = -11x
(30 + -11x + x2) = (x + 7)(x + 7)

Reorder the terms:
30 + -11x + x2 = (7 + x)(x + 7)

Reorder the terms:
30 + -11x + x2 = (7 + x)(7 + x)

Multiply (7 + x) * (7 + x)
30 + -11x + x2 = (7(7 + x) + x(7 + x))
30 + -11x + x2 = ((7 * 7 + x * 7) + x(7 + x))
30 + -11x + x2 = ((49 + 7x) + x(7 + x))
30 + -11x + x2 = (49 + 7x + (7 * x + x * x))
30 + -11x + x2 = (49 + 7x + (7x + x2))

Combine like terms: 7x + 7x = 14x
30 + -11x + x2 = (49 + 14x + x2)

Add '-1x2' to each side of the equation.
30 + -11x + x2 + -1x2 = 49 + 14x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
30 + -11x + 0 = 49 + 14x + x2 + -1x2
30 + -11x = 49 + 14x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
30 + -11x = 49 + 14x + 0
30 + -11x = 49 + 14x

Solving
30 + -11x = 49 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
30 + -11x + -14x = 49 + 14x + -14x

Combine like terms: -11x + -14x = -25x
30 + -25x = 49 + 14x + -14x

Combine like terms: 14x + -14x = 0
30 + -25x = 49 + 0
30 + -25x = 49

Add '-30' to each side of the equation.
30 + -30 + -25x = 49 + -30

Combine like terms: 30 + -30 = 0
0 + -25x = 49 + -30
-25x = 49 + -30

Combine like terms: 49 + -30 = 19
-25x = 19

Divide each side by '-25'.
x = -0.76

Simplifying
x = -0.76

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