2x^2(-2+6xy)=

Solution for 2x^2(-2+6xy)= equation:

Simplifying
2x2(-2 + 6xy) = 0
(-2 * 2x2 + 6xy * 2x2) = 0
(-4x2 + 12x3y) = 0

Solving
-4x2 + 12x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(-1 + 3xy) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(-1 + 3xy)' equal to zero and attempt to solve:

Simplifying
-1 + 3xy = 0

Solving
-1 + 3xy = 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 + 3xy = 0 + 1

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

Combine like terms: 0 + 1 = 1
3xy = 1

Divide each side by '3y'.
x = 0.3333333333y-1

Simplifying
x = 0.3333333333y-1
Solution
x = {0, 0.3333333333y-1}