(9x+3)(3x-9)=0

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Solution for (9x+3)(3x-9)=0 equation: 


Simplifying
(9x + 3)(3x + -9) = 0

Reorder the terms:
(3 + 9x)(3x + -9) = 0

Reorder the terms:
(3 + 9x)(-9 + 3x) = 0

Multiply (3 + 9x) * (-9 + 3x)
(3(-9 + 3x) + 9x * (-9 + 3x)) = 0
((-9 * 3 + 3x * 3) + 9x * (-9 + 3x)) = 0
((-27 + 9x) + 9x * (-9 + 3x)) = 0
(-27 + 9x + (-9 * 9x + 3x * 9x)) = 0
(-27 + 9x + (-81x + 27x2)) = 0

Combine like terms: 9x + -81x = -72x
(-27 + -72x + 27x2) = 0

Solving
-27 + -72x + 27x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(-3 + -8x + 3x2) = 0

Factor a trinomial.
9((-1 + -3x)(3 + -1x)) = 0

Ignore the factor 9.

Subproblem 1
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

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-0.3333333333, 3}

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