2*y*y-14=63

Solution for 2*y*y-14=63 equation:

Simplifying
2y * y + -14 = 63

Multiply y * y
2y2 + -14 = 63

Reorder the terms:
-14 + 2y2 = 63

Solving
-14 + 2y2 = 63

Solving for variable 'y'.

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

Add '14' to each side of the equation.
-14 + 14 + 2y2 = 63 + 14

Combine like terms: -14 + 14 = 0
0 + 2y2 = 63 + 14
2y2 = 63 + 14

Combine like terms: 63 + 14 = 77
2y2 = 77

Divide each side by '2'.
y2 = 38.5

Simplifying
y2 = 38.5

Take the square root of each side:
y = {-6.204836823, 6.204836823}