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

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


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

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

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

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

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

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

Reorder the terms:
0 = (3 + x)(x + -3)

Reorder the terms:
0 = (3 + x)(-3 + x)

Multiply (3 + x) * (-3 + x)
0 = (3(-3 + x) + x(-3 + x))
0 = ((-3 * 3 + x * 3) + x(-3 + x))
0 = ((-9 + 3x) + x(-3 + x))
0 = (-9 + 3x + (-3 * x + x * x))
0 = (-9 + 3x + (-3x + x2))

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

Solving
0 = -9 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
0 + -1x2 = -9 + x2 + -1x2
Remove the zero:
-1x2 = -9 + x2 + -1x2

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

Divide each side by '-1'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}

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