(-3x-3)(-3x+1)=0

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Solution for (-3x-3)(-3x+1)=0 equation: 


Simplifying
(-3x + -3)(-3x + 1) = 0

Reorder the terms:
(-3 + -3x)(-3x + 1) = 0

Reorder the terms:
(-3 + -3x)(1 + -3x) = 0

Multiply (-3 + -3x) * (1 + -3x)
(-3(1 + -3x) + -3x * (1 + -3x)) = 0
((1 * -3 + -3x * -3) + -3x * (1 + -3x)) = 0
((-3 + 9x) + -3x * (1 + -3x)) = 0
(-3 + 9x + (1 * -3x + -3x * -3x)) = 0
(-3 + 9x + (-3x + 9x2)) = 0

Combine like terms: 9x + -3x = 6x
(-3 + 6x + 9x2) = 0

Solving
-3 + 6x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + 2x + 3x2) = 0

Factor a trinomial.
3((-1 + -1x)(1 + -3x)) = 0

Ignore the factor 3.

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 '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 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 + -3x = 0 + -1

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

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

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Solution
x = {-1, 0.3333333333}

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