6g^2-23gh+15h^2=0

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Solution for 6g^2-23gh+15h^2=0 equation: 


Simplifying
6g2 + -23gh + 15h2 = 0

Reorder the terms:
-23gh + 6g2 + 15h2 = 0

Solving
-23gh + 6g2 + 15h2 = 0

Solving for variable 'g'.

Factor a trinomial.
(g + -3h)(6g + -5h) = 0


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

Simplifying
g + -3h = 0

Solving
g + -3h = 0

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

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

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

Simplifying
g = 3h

Subproblem 2
Set the factor '(6g + -5h)' equal to zero and attempt to solve:

Simplifying
6g + -5h = 0

Solving
6g + -5h = 0

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

Add '5h' to each side of the equation.
6g + -5h + 5h = 0 + 5h

Combine like terms: -5h + 5h = 0
6g + 0 = 0 + 5h
6g = 0 + 5h
Remove the zero:
6g = 5h

Divide each side by '6'.
g = 0.8333333333h

Simplifying
g = 0.8333333333h
Solution
g = {3h, 0.8333333333h}

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