4y^2-17+15=0

Solution for 4y^2-17+15=0 equation:

Simplifying
4y2 + -17 + 15 = 0

Reorder the terms:
-17 + 15 + 4y2 = 0

Combine like terms: -17 + 15 = -2
-2 + 4y2 = 0

Solving
-2 + 4y2 = 0

Solving for variable 'y'.

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

Add '2' to each side of the equation.
-2 + 2 + 4y2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 4y2 = 0 + 2
4y2 = 0 + 2

Combine like terms: 0 + 2 = 2
4y2 = 2

Divide each side by '4'.
y2 = 0.5

Simplifying
y2 = 0.5

Take the square root of each side:
y = {-0.707106781, 0.707106781}