6g^2+5h^2-3g^2-8h^2=

Solution for 6g^2+5h^2-3g^2-8h^2= equation:

Simplifying
6g2 + 5h2 + -3g2 + -8h2 = 0

Reorder the terms:
6g2 + -3g2 + 5h2 + -8h2 = 0

Combine like terms: 6g2 + -3g2 = 3g2
3g2 + 5h2 + -8h2 = 0

Combine like terms: 5h2 + -8h2 = -3h2
3g2 + -3h2 = 0

Solving
3g2 + -3h2 = 0

Solving for variable 'g'.

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

Add '3h2' to each side of the equation.
3g2 + -3h2 + 3h2 = 0 + 3h2

Combine like terms: -3h2 + 3h2 = 0
3g2 + 0 = 0 + 3h2
3g2 = 0 + 3h2
Remove the zero:
3g2 = 3h2

Divide each side by '3'.
g2 = h2

Simplifying
g2 = h2

Take the square root of each side:
g = {-1h, h}