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

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


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

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

Remove parenthesis around (3x)
0 = (3 + -9x) * 3x

Reorder the terms for easier multiplication:
0 = 3x(3 + -9x)
0 = (3 * 3x + -9x * 3x)
0 = (9x + -27x2)

Solving
0 = 9x + -27x2

Solving for variable 'x'.
Remove the zero:
-9x + 27x2 = 9x + -27x2 + -9x + 27x2

Reorder the terms:
-9x + 27x2 = 9x + -9x + -27x2 + 27x2

Combine like terms: 9x + -9x = 0
-9x + 27x2 = 0 + -27x2 + 27x2
-9x + 27x2 = -27x2 + 27x2

Combine like terms: -27x2 + 27x2 = 0
-9x + 27x2 = 0

Factor out the Greatest Common Factor (GCF), '9x'.
9x(-1 + 3x) = 0

Ignore the factor 9.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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 = {0, 0.3333333333}

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