(x+5)*(x+5)=(x-4)*(x-4)

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Solution for (x+5)*(x+5)=(x-4)*(x-4) equation: 


Simplifying
(x + 5)(x + 5) = (x + -4)(x + -4)

Reorder the terms:
(5 + x)(x + 5) = (x + -4)(x + -4)

Reorder the terms:
(5 + x)(5 + x) = (x + -4)(x + -4)

Multiply (5 + x) * (5 + x)
(5(5 + x) + x(5 + x)) = (x + -4)(x + -4)
((5 * 5 + x * 5) + x(5 + x)) = (x + -4)(x + -4)
((25 + 5x) + x(5 + x)) = (x + -4)(x + -4)
(25 + 5x + (5 * x + x * x)) = (x + -4)(x + -4)
(25 + 5x + (5x + x2)) = (x + -4)(x + -4)

Combine like terms: 5x + 5x = 10x
(25 + 10x + x2) = (x + -4)(x + -4)

Reorder the terms:
25 + 10x + x2 = (-4 + x)(x + -4)

Reorder the terms:
25 + 10x + x2 = (-4 + x)(-4 + x)

Multiply (-4 + x) * (-4 + x)
25 + 10x + x2 = (-4(-4 + x) + x(-4 + x))
25 + 10x + x2 = ((-4 * -4 + x * -4) + x(-4 + x))
25 + 10x + x2 = ((16 + -4x) + x(-4 + x))
25 + 10x + x2 = (16 + -4x + (-4 * x + x * x))
25 + 10x + x2 = (16 + -4x + (-4x + x2))

Combine like terms: -4x + -4x = -8x
25 + 10x + x2 = (16 + -8x + x2)

Add '-1x2' to each side of the equation.
25 + 10x + x2 + -1x2 = 16 + -8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
25 + 10x + 0 = 16 + -8x + x2 + -1x2
25 + 10x = 16 + -8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
25 + 10x = 16 + -8x + 0
25 + 10x = 16 + -8x

Solving
25 + 10x = 16 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
25 + 10x + 8x = 16 + -8x + 8x

Combine like terms: 10x + 8x = 18x
25 + 18x = 16 + -8x + 8x

Combine like terms: -8x + 8x = 0
25 + 18x = 16 + 0
25 + 18x = 16

Add '-25' to each side of the equation.
25 + -25 + 18x = 16 + -25

Combine like terms: 25 + -25 = 0
0 + 18x = 16 + -25
18x = 16 + -25

Combine like terms: 16 + -25 = -9
18x = -9

Divide each side by '18'.
x = -0.5

Simplifying
x = -0.5

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