v^2+7vg-18g^2=

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Solution for v^2+7vg-18g^2= equation: 


Simplifying
v2 + 7vg + -18g2 = 0

Reorder the terms:
7gv + -18g2 + v2 = 0

Solving
7gv + -18g2 + v2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-9g + -1v)(2g + -1v) = 0


Subproblem 1
Set the factor '(-9g + -1v)' equal to zero and attempt to solve:

Simplifying
-9g + -1v = 0

Solving
-9g + -1v = 0

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

Add 'v' to each side of the equation.
-9g + -1v + v = 0 + v

Combine like terms: -1v + v = 0
-9g + 0 = 0 + v
-9g = 0 + v
Remove the zero:
-9g = v

Divide each side by '-9'.
g = -0.1111111111v

Simplifying
g = -0.1111111111v

Subproblem 2
Set the factor '(2g + -1v)' equal to zero and attempt to solve:

Simplifying
2g + -1v = 0

Solving
2g + -1v = 0

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

Add 'v' to each side of the equation.
2g + -1v + v = 0 + v

Combine like terms: -1v + v = 0
2g + 0 = 0 + v
2g = 0 + v
Remove the zero:
2g = v

Divide each side by '2'.
g = 0.5v

Simplifying
g = 0.5v
Solution
g = {-0.1111111111v, 0.5v}

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