3h^2+12h^2-144=0

Solution for 3h^2+12h^2-144=0 equation:

Simplifying
3h2 + 12h2 + -144 = 0

Reorder the terms:
-144 + 3h2 + 12h2 = 0

Combine like terms: 3h2 + 12h2 = 15h2
-144 + 15h2 = 0

Solving
-144 + 15h2 = 0

Solving for variable 'h'.

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

Add '144' to each side of the equation.
-144 + 144 + 15h2 = 0 + 144

Combine like terms: -144 + 144 = 0
0 + 15h2 = 0 + 144
15h2 = 0 + 144

Combine like terms: 0 + 144 = 144
15h2 = 144

Divide each side by '15'.
h2 = 9.6

Simplifying
h2 = 9.6

Take the square root of each side:
h = {-3.098386677, 3.098386677}