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

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


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

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

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

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

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

Reorder the terms:
9 + 6x + x2 = (-3 + x)(x + -3)

Reorder the terms:
9 + 6x + x2 = (-3 + x)(-3 + x)

Multiply (-3 + x) * (-3 + x)
9 + 6x + x2 = (-3(-3 + x) + x(-3 + x))
9 + 6x + x2 = ((-3 * -3 + x * -3) + x(-3 + x))
9 + 6x + x2 = ((9 + -3x) + x(-3 + x))
9 + 6x + x2 = (9 + -3x + (-3 * x + x * x))
9 + 6x + x2 = (9 + -3x + (-3x + x2))

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

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

Reorder the terms:
9 + -9 + 6x + x2 = 9 + -6x + -9 + x2

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

Reorder the terms:
6x + x2 = 9 + -9 + -6x + x2

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

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

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

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

Solving
6x = -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.
6x + 6x = -6x + 6x

Combine like terms: 6x + 6x = 12x
12x = -6x + 6x

Combine like terms: -6x + 6x = 0
12x = 0

Divide each side by '12'.
x = 0

Simplifying
x = 0

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