0=6x^2-18x

Solution for 0=6x^2-18x equation:

Simplifying
0 = 6x2 + -18x

Reorder the terms:
0 = -18x + 6x2

Solving
0 = -18x + 6x2

Solving for variable 'x'.
Remove the zero:
18x + -6x2 = -18x + 6x2 + 18x + -6x2

Reorder the terms:
18x + -6x2 = -18x + 18x + 6x2 + -6x2

Combine like terms: -18x + 18x = 0
18x + -6x2 = 0 + 6x2 + -6x2
18x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
18x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '6x'.
6x(3 + -1x) = 0

Ignore the factor 6.
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}