(x+5)(x+5)+9=(x-6)(x-6)

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Solution for (x+5)(x+5)+9=(x-6)(x-6) equation: 


Simplifying
(x + 5)(x + 5) + 9 = (x + -6)(x + -6)

Reorder the terms:
(5 + x)(x + 5) + 9 = (x + -6)(x + -6)

Reorder the terms:
(5 + x)(5 + x) + 9 = (x + -6)(x + -6)

Multiply (5 + x) * (5 + x)
(5(5 + x) + x(5 + x)) + 9 = (x + -6)(x + -6)
((5 * 5 + x * 5) + x(5 + x)) + 9 = (x + -6)(x + -6)
((25 + 5x) + x(5 + x)) + 9 = (x + -6)(x + -6)
(25 + 5x + (5 * x + x * x)) + 9 = (x + -6)(x + -6)
(25 + 5x + (5x + x2)) + 9 = (x + -6)(x + -6)

Combine like terms: 5x + 5x = 10x
(25 + 10x + x2) + 9 = (x + -6)(x + -6)

Reorder the terms:
25 + 9 + 10x + x2 = (x + -6)(x + -6)

Combine like terms: 25 + 9 = 34
34 + 10x + x2 = (x + -6)(x + -6)

Reorder the terms:
34 + 10x + x2 = (-6 + x)(x + -6)

Reorder the terms:
34 + 10x + x2 = (-6 + x)(-6 + x)

Multiply (-6 + x) * (-6 + x)
34 + 10x + x2 = (-6(-6 + x) + x(-6 + x))
34 + 10x + x2 = ((-6 * -6 + x * -6) + x(-6 + x))
34 + 10x + x2 = ((36 + -6x) + x(-6 + x))
34 + 10x + x2 = (36 + -6x + (-6 * x + x * x))
34 + 10x + x2 = (36 + -6x + (-6x + x2))

Combine like terms: -6x + -6x = -12x
34 + 10x + x2 = (36 + -12x + x2)

Add '-1x2' to each side of the equation.
34 + 10x + x2 + -1x2 = 36 + -12x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
34 + 10x + 0 = 36 + -12x + x2 + -1x2
34 + 10x = 36 + -12x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
34 + 10x = 36 + -12x + 0
34 + 10x = 36 + -12x

Solving
34 + 10x = 36 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
34 + 10x + 12x = 36 + -12x + 12x

Combine like terms: 10x + 12x = 22x
34 + 22x = 36 + -12x + 12x

Combine like terms: -12x + 12x = 0
34 + 22x = 36 + 0
34 + 22x = 36

Add '-34' to each side of the equation.
34 + -34 + 22x = 36 + -34

Combine like terms: 34 + -34 = 0
0 + 22x = 36 + -34
22x = 36 + -34

Combine like terms: 36 + -34 = 2
22x = 2

Divide each side by '22'.
x = 0.09090909091

Simplifying
x = 0.09090909091

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