(6y-4)(3y+2)=0

Solution for (6y-4)(3y+2)=0 equation:

Simplifying
(6y + -4)(3y + 2) = 0

Reorder the terms:
(-4 + 6y)(3y + 2) = 0

Reorder the terms:
(-4 + 6y)(2 + 3y) = 0

Multiply (-4 + 6y) * (2 + 3y)
(-4(2 + 3y) + 6y * (2 + 3y)) = 0
((2 * -4 + 3y * -4) + 6y * (2 + 3y)) = 0
((-8 + -12y) + 6y * (2 + 3y)) = 0
(-8 + -12y + (2 * 6y + 3y * 6y)) = 0
(-8 + -12y + (12y + 18y2)) = 0

Combine like terms: -12y + 12y = 0
(-8 + 0 + 18y2) = 0
(-8 + 18y2) = 0

Solving
-8 + 18y2 = 0

Solving for variable 'y'.

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

Add '8' to each side of the equation.
-8 + 8 + 18y2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 18y2 = 0 + 8
18y2 = 0 + 8

Combine like terms: 0 + 8 = 8
18y2 = 8

Divide each side by '18'.
y2 = 0.4444444444

Simplifying
y2 = 0.4444444444

Take the square root of each side:
y = {-0.666666667, 0.666666667}