(-2+3y^2)(-6)=

Solution for (-2+3y^2)(-6)= equation:

Simplifying
(-2 + 3y2)(-6) = 0

Reorder the terms for easier multiplication:
-6(-2 + 3y2) = 0
(-2 * -6 + 3y2 * -6) = 0
(12 + -18y2) = 0

Solving
12 + -18y2 = 0

Solving for variable 'y'.

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

Add '-12' to each side of the equation.
12 + -12 + -18y2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -18y2 = 0 + -12
-18y2 = 0 + -12

Combine like terms: 0 + -12 = -12
-18y2 = -12

Divide each side by '-18'.
y2 = 0.6666666667

Simplifying
y2 = 0.6666666667

Take the square root of each side:
y = {-0.816496581, 0.816496581}