(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 = -4x
25 + -4x = 49 + 14x + -14x

Combine like terms: 14x + -14x = 0
25 + -4x = 49 + 0
25 + -4x = 49

Add '-25' to each side of the equation.
25 + -25 + -4x = 49 + -25

Combine like terms: 25 + -25 = 0
0 + -4x = 49 + -25
-4x = 49 + -25

Combine like terms: 49 + -25 = 24
-4x = 24

Divide each side by '-4'.
x = -6

Simplifying
x = -6

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