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

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


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

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

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

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

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

Combine like terms: -3x + 3x = 0
3x + x2 = (-9 + 0 + x2)
3x + x2 = (-9 + x2)

Add '-1x2' to each side of the equation.
3x + x2 + -1x2 = -9 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
3x + 0 = -9 + x2 + -1x2
3x = -9 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
3x = -9 + 0
3x = -9

Solving
3x = -9

Solving for variable 'x'.

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

Divide each side by '3'.
x = -3

Simplifying
x = -3

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