7h^2-38+15=0

Solution for 7h^2-38+15=0 equation:

Simplifying
7h2 + -38 + 15 = 0

Reorder the terms:
-38 + 15 + 7h2 = 0

Combine like terms: -38 + 15 = -23
-23 + 7h2 = 0

Solving
-23 + 7h2 = 0

Solving for variable 'h'.

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

Add '23' to each side of the equation.
-23 + 23 + 7h2 = 0 + 23

Combine like terms: -23 + 23 = 0
0 + 7h2 = 0 + 23
7h2 = 0 + 23

Combine like terms: 0 + 23 = 23
7h2 = 23

Divide each side by '7'.
h2 = 3.285714286

Simplifying
h2 = 3.285714286

Take the square root of each side:
h = {-1.812653934, 1.812653934}