15=2h^2-3

Solution for 15=2h^2-3 equation:

Simplifying
15 = 2h2 + -3

Reorder the terms:
15 = -3 + 2h2

Solving
15 = -3 + 2h2

Solving for variable 'h'.

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

Add '-2h2' to each side of the equation.
15 + -2h2 = -3 + 2h2 + -2h2

Combine like terms: 2h2 + -2h2 = 0
15 + -2h2 = -3 + 0
15 + -2h2 = -3

Add '-15' to each side of the equation.
15 + -15 + -2h2 = -3 + -15

Combine like terms: 15 + -15 = 0
0 + -2h2 = -3 + -15
-2h2 = -3 + -15

Combine like terms: -3 + -15 = -18
-2h2 = -18

Divide each side by '-2'.
h2 = 9

Simplifying
h2 = 9

Take the square root of each side:
h = {-3, 3}