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

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


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

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

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

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

Combine like terms: 3x + 3x = 6x
(9 + 6x + x2) = (x + -5)(x + -5)

Reorder the terms:
9 + 6x + x2 = (-5 + x)(x + -5)

Reorder the terms:
9 + 6x + x2 = (-5 + x)(-5 + x)

Multiply (-5 + x) * (-5 + x)
9 + 6x + x2 = (-5(-5 + x) + x(-5 + x))
9 + 6x + x2 = ((-5 * -5 + x * -5) + x(-5 + x))
9 + 6x + x2 = ((25 + -5x) + x(-5 + x))
9 + 6x + x2 = (25 + -5x + (-5 * x + x * x))
9 + 6x + x2 = (25 + -5x + (-5x + x2))

Combine like terms: -5x + -5x = -10x
9 + 6x + x2 = (25 + -10x + x2)

Add '-1x2' to each side of the equation.
9 + 6x + x2 + -1x2 = 25 + -10x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9 + 6x + 0 = 25 + -10x + x2 + -1x2
9 + 6x = 25 + -10x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9 + 6x = 25 + -10x + 0
9 + 6x = 25 + -10x

Solving
9 + 6x = 25 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
9 + 6x + 10x = 25 + -10x + 10x

Combine like terms: 6x + 10x = 16x
9 + 16x = 25 + -10x + 10x

Combine like terms: -10x + 10x = 0
9 + 16x = 25 + 0
9 + 16x = 25

Add '-9' to each side of the equation.
9 + -9 + 16x = 25 + -9

Combine like terms: 9 + -9 = 0
0 + 16x = 25 + -9
16x = 25 + -9

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

Divide each side by '16'.
x = 1

Simplifying
x = 1

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