4y^2-12+9=0

Solution for 4y^2-12+9=0 equation:

Simplifying
4y2 + -12 + 9 = 0

Reorder the terms:
-12 + 9 + 4y2 = 0

Combine like terms: -12 + 9 = -3
-3 + 4y2 = 0

Solving
-3 + 4y2 = 0

Solving for variable 'y'.

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

Add '3' to each side of the equation.
-3 + 3 + 4y2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4y2 = 0 + 3
4y2 = 0 + 3

Combine like terms: 0 + 3 = 3
4y2 = 3

Divide each side by '4'.
y2 = 0.75

Simplifying
y2 = 0.75

Take the square root of each side:
y = {-0.866025404, 0.866025404}