0=9x*x-3x

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Solution for 0=9x*x-3x equation: 


Simplifying
0 = 9x * x + -3x

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

Reorder the terms:
0 = -3x + 9x2

Solving
0 = -3x + 9x2

Solving for variable 'x'.
Remove the zero:
3x + -9x2 = -3x + 9x2 + 3x + -9x2

Reorder the terms:
3x + -9x2 = -3x + 3x + 9x2 + -9x2

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

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

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

Ignore the factor 3.

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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