2y^2-30+8=0

Solution for 2y^2-30+8=0 equation:

Simplifying
2y2 + -30 + 8 = 0

Reorder the terms:
-30 + 8 + 2y2 = 0

Combine like terms: -30 + 8 = -22
-22 + 2y2 = 0

Solving
-22 + 2y2 = 0

Solving for variable 'y'.

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

Add '22' to each side of the equation.
-22 + 22 + 2y2 = 0 + 22

Combine like terms: -22 + 22 = 0
0 + 2y2 = 0 + 22
2y2 = 0 + 22

Combine like terms: 0 + 22 = 22
2y2 = 22

Divide each side by '2'.
y2 = 11

Simplifying
y2 = 11

Take the square root of each side:
y = {-3.31662479, 3.31662479}