15g^2-19gh-56h^2=0

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Solution for 15g^2-19gh-56h^2=0 equation: 


Simplifying
15g2 + -19gh + -56h2 = 0

Reorder the terms:
-19gh + 15g2 + -56h2 = 0

Solving
-19gh + 15g2 + -56h2 = 0

Solving for variable 'g'.

Factor a trinomial.
(3g + -8h)(5g + 7h) = 0


Subproblem 1
Set the factor '(3g + -8h)' equal to zero and attempt to solve:

Simplifying
3g + -8h = 0

Solving
3g + -8h = 0

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

Add '8h' to each side of the equation.
3g + -8h + 8h = 0 + 8h

Combine like terms: -8h + 8h = 0
3g + 0 = 0 + 8h
3g = 0 + 8h
Remove the zero:
3g = 8h

Divide each side by '3'.
g = 2.666666667h

Simplifying
g = 2.666666667h

Subproblem 2
Set the factor '(5g + 7h)' equal to zero and attempt to solve:

Simplifying
5g + 7h = 0

Solving
5g + 7h = 0

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

Add '-7h' to each side of the equation.
5g + 7h + -7h = 0 + -7h

Combine like terms: 7h + -7h = 0
5g + 0 = 0 + -7h
5g = 0 + -7h
Remove the zero:
5g = -7h

Divide each side by '5'.
g = -1.4h

Simplifying
g = -1.4h
Solution
g = {2.666666667h, -1.4h}

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