h^2+49+h^2=169

Solution for h^2+49+h^2=169 equation:

Simplifying
h2 + 49 + h2 = 169

Reorder the terms:
49 + h2 + h2 = 169

Combine like terms: h2 + h2 = 2h2
49 + 2h2 = 169

Solving
49 + 2h2 = 169

Solving for variable 'h'.

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

Add '-49' to each side of the equation.
49 + -49 + 2h2 = 169 + -49

Combine like terms: 49 + -49 = 0
0 + 2h2 = 169 + -49
2h2 = 169 + -49

Combine like terms: 169 + -49 = 120
2h2 = 120

Divide each side by '2'.
h2 = 60

Simplifying
h2 = 60

Take the square root of each side:
h = {-7.745966692, 7.745966692}