(3x+3)(3x-6)=

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Solution for (3x+3)(3x-6)= equation:


Simplifying
(3x + 3)(3x + -6) = 0

Reorder the terms:
(3 + 3x)(3x + -6) = 0

Reorder the terms:
(3 + 3x)(-6 + 3x) = 0

Multiply (3 + 3x) * (-6 + 3x)
(3(-6 + 3x) + 3x * (-6 + 3x)) = 0
((-6 * 3 + 3x * 3) + 3x * (-6 + 3x)) = 0
((-18 + 9x) + 3x * (-6 + 3x)) = 0
(-18 + 9x + (-6 * 3x + 3x * 3x)) = 0
(-18 + 9x + (-18x + 9x2)) = 0

Combine like terms: 9x + -18x = -9x
(-18 + -9x + 9x2) = 0

Solving
-18 + -9x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(-2 + -1x + x2) = 0

Factor a trinomial.
9((-1 + -1x)(2 + -1x)) = 0

Ignore the factor 9.

Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve:

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -1x = 0 + 1

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

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

Divide each side by '-1'.
x = -1

Simplifying
x = -1

Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-1, 2}

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