0=3x(x-3)

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


Simplifying
0 = 3x(x + -3)

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

Solving
0 = -9x + 3x2

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

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

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

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

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

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