48g^2-22gh-15h^2=0

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Solution for 48g^2-22gh-15h^2=0 equation: 


Simplifying
48g2 + -22gh + -15h2 = 0

Reorder the terms:
-22gh + 48g2 + -15h2 = 0

Solving
-22gh + 48g2 + -15h2 = 0

Solving for variable 'g'.

Factor a trinomial.
(6g + -5h)(8g + 3h) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(8g + 3h)' equal to zero and attempt to solve:

Simplifying
8g + 3h = 0

Solving
8g + 3h = 0

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

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

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

Divide each side by '8'.
g = -0.375h

Simplifying
g = -0.375h
Solution
g = {0.8333333333h, -0.375h}

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