(x+5)(x+5)=(x+9)(x+3)

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Solution for (x+5)(x+5)=(x+9)(x+3) equation: 


Simplifying
(x + 5)(x + 5) = (x + 9)(x + 3)

Reorder the terms:
(5 + x)(x + 5) = (x + 9)(x + 3)

Reorder the terms:
(5 + x)(5 + x) = (x + 9)(x + 3)

Multiply (5 + x) * (5 + x)
(5(5 + x) + x(5 + x)) = (x + 9)(x + 3)
((5 * 5 + x * 5) + x(5 + x)) = (x + 9)(x + 3)
((25 + 5x) + x(5 + x)) = (x + 9)(x + 3)
(25 + 5x + (5 * x + x * x)) = (x + 9)(x + 3)
(25 + 5x + (5x + x2)) = (x + 9)(x + 3)

Combine like terms: 5x + 5x = 10x
(25 + 10x + x2) = (x + 9)(x + 3)

Reorder the terms:
25 + 10x + x2 = (9 + x)(x + 3)

Reorder the terms:
25 + 10x + x2 = (9 + x)(3 + x)

Multiply (9 + x) * (3 + x)
25 + 10x + x2 = (9(3 + x) + x(3 + x))
25 + 10x + x2 = ((3 * 9 + x * 9) + x(3 + x))
25 + 10x + x2 = ((27 + 9x) + x(3 + x))
25 + 10x + x2 = (27 + 9x + (3 * x + x * x))
25 + 10x + x2 = (27 + 9x + (3x + x2))

Combine like terms: 9x + 3x = 12x
25 + 10x + x2 = (27 + 12x + x2)

Add '-1x2' to each side of the equation.
25 + 10x + x2 + -1x2 = 27 + 12x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
25 + 10x + 0 = 27 + 12x + x2 + -1x2
25 + 10x = 27 + 12x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
25 + 10x = 27 + 12x + 0
25 + 10x = 27 + 12x

Solving
25 + 10x = 27 + 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.
25 + 10x + -12x = 27 + 12x + -12x

Combine like terms: 10x + -12x = -2x
25 + -2x = 27 + 12x + -12x

Combine like terms: 12x + -12x = 0
25 + -2x = 27 + 0
25 + -2x = 27

Add '-25' to each side of the equation.
25 + -25 + -2x = 27 + -25

Combine like terms: 25 + -25 = 0
0 + -2x = 27 + -25
-2x = 27 + -25

Combine like terms: 27 + -25 = 2
-2x = 2

Divide each side by '-2'.
x = -1

Simplifying
x = -1

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