g^2-12gh+35h^2=

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Solution for g^2-12gh+35h^2= equation: 


Simplifying
g2 + -12gh + 35h2 = 0

Reorder the terms:
-12gh + g2 + 35h2 = 0

Solving
-12gh + g2 + 35h2 = 0

Solving for variable 'g'.

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


Subproblem 1
Set the factor '(g + -7h)' equal to zero and attempt to solve:

Simplifying
g + -7h = 0

Solving
g + -7h = 0

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

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

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

Simplifying
g = 7h

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

Simplifying
g + -5h = 0

Solving
g + -5h = 0

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

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

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

Simplifying
g = 5h
Solution
g = {7h, 5h}

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