g^2+4gh-60h^2=0

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Solution for g^2+4gh-60h^2=0 equation: 


Simplifying
g2 + 4gh + -60h2 = 0

Reorder the terms:
4gh + g2 + -60h2 = 0

Solving
4gh + g2 + -60h2 = 0

Solving for variable 'g'.

Factor a trinomial.
(g + -6h)(g + 10h) = 0


Subproblem 1
Set the factor '(g + -6h)' equal to zero and attempt to solve:

Simplifying
g + -6h = 0

Solving
g + -6h = 0

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

Add '6h' to each side of the equation.
g + -6h + 6h = 0 + 6h

Combine like terms: -6h + 6h = 0
g + 0 = 0 + 6h
g = 0 + 6h
Remove the zero:
g = 6h

Simplifying
g = 6h

Subproblem 2
Set the factor '(g + 10h)' equal to zero and attempt to solve:

Simplifying
g + 10h = 0

Solving
g + 10h = 0

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

Add '-10h' to each side of the equation.
g + 10h + -10h = 0 + -10h

Combine like terms: 10h + -10h = 0
g + 0 = 0 + -10h
g = 0 + -10h
Remove the zero:
g = -10h

Simplifying
g = -10h
Solution
g = {6h, -10h}

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