(x-7)*(x+5)=(x+3)*(x+3)

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Solution for (x-7)*(x+5)=(x+3)*(x+3) equation: 


Simplifying
(x + -7)(x + 5) = (x + 3)(x + 3)

Reorder the terms:
(-7 + x)(x + 5) = (x + 3)(x + 3)

Reorder the terms:
(-7 + x)(5 + x) = (x + 3)(x + 3)

Multiply (-7 + x) * (5 + x)
(-7(5 + x) + x(5 + x)) = (x + 3)(x + 3)
((5 * -7 + x * -7) + x(5 + x)) = (x + 3)(x + 3)
((-35 + -7x) + x(5 + x)) = (x + 3)(x + 3)
(-35 + -7x + (5 * x + x * x)) = (x + 3)(x + 3)
(-35 + -7x + (5x + x2)) = (x + 3)(x + 3)

Combine like terms: -7x + 5x = -2x
(-35 + -2x + x2) = (x + 3)(x + 3)

Reorder the terms:
-35 + -2x + x2 = (3 + x)(x + 3)

Reorder the terms:
-35 + -2x + x2 = (3 + x)(3 + x)

Multiply (3 + x) * (3 + x)
-35 + -2x + x2 = (3(3 + x) + x(3 + x))
-35 + -2x + x2 = ((3 * 3 + x * 3) + x(3 + x))
-35 + -2x + x2 = ((9 + 3x) + x(3 + x))
-35 + -2x + x2 = (9 + 3x + (3 * x + x * x))
-35 + -2x + x2 = (9 + 3x + (3x + x2))

Combine like terms: 3x + 3x = 6x
-35 + -2x + x2 = (9 + 6x + x2)

Add '-1x2' to each side of the equation.
-35 + -2x + x2 + -1x2 = 9 + 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-35 + -2x + 0 = 9 + 6x + x2 + -1x2
-35 + -2x = 9 + 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-35 + -2x = 9 + 6x + 0
-35 + -2x = 9 + 6x

Solving
-35 + -2x = 9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-35 + -2x + -6x = 9 + 6x + -6x

Combine like terms: -2x + -6x = -8x
-35 + -8x = 9 + 6x + -6x

Combine like terms: 6x + -6x = 0
-35 + -8x = 9 + 0
-35 + -8x = 9

Add '35' to each side of the equation.
-35 + 35 + -8x = 9 + 35

Combine like terms: -35 + 35 = 0
0 + -8x = 9 + 35
-8x = 9 + 35

Combine like terms: 9 + 35 = 44
-8x = 44

Divide each side by '-8'.
x = -5.5

Simplifying
x = -5.5

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