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

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


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

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

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

Multiply (5 + x) * (5 + x)
(5(5 + x) + x(5 + x)) = (x + -7)(x + -7)
((5 * 5 + x * 5) + x(5 + x)) = (x + -7)(x + -7)
((25 + 5x) + x(5 + x)) = (x + -7)(x + -7)
(25 + 5x + (5 * x + x * x)) = (x + -7)(x + -7)
(25 + 5x + (5x + x2)) = (x + -7)(x + -7)

Combine like terms: 5x + 5x = 10x
(25 + 10x + x2) = (x + -7)(x + -7)

Reorder the terms:
25 + 10x + x2 = (-7 + x)(x + -7)

Reorder the terms:
25 + 10x + x2 = (-7 + x)(-7 + x)

Multiply (-7 + x) * (-7 + x)
25 + 10x + x2 = (-7(-7 + x) + x(-7 + x))
25 + 10x + x2 = ((-7 * -7 + x * -7) + x(-7 + x))
25 + 10x + x2 = ((49 + -7x) + x(-7 + x))
25 + 10x + x2 = (49 + -7x + (-7 * x + x * x))
25 + 10x + x2 = (49 + -7x + (-7x + x2))

Combine like terms: -7x + -7x = -14x
25 + 10x + x2 = (49 + -14x + x2)

Add '-1x2' to each side of the equation.
25 + 10x + x2 + -1x2 = 49 + -14x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
25 + 10x + 0 = 49 + -14x + x2 + -1x2
25 + 10x = 49 + -14x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
25 + 10x = 49 + -14x + 0
25 + 10x = 49 + -14x

Solving
25 + 10x = 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.
25 + 10x + 14x = 49 + -14x + 14x

Combine like terms: 10x + 14x = 24x
25 + 24x = 49 + -14x + 14x

Combine like terms: -14x + 14x = 0
25 + 24x = 49 + 0
25 + 24x = 49

Add '-25' to each side of the equation.
25 + -25 + 24x = 49 + -25

Combine like terms: 25 + -25 = 0
0 + 24x = 49 + -25
24x = 49 + -25

Combine like terms: 49 + -25 = 24
24x = 24

Divide each side by '24'.
x = 1

Simplifying
x = 1

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