w^2+11wg+18g^2=

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Solution for w^2+11wg+18g^2= equation: 


Simplifying
w2 + 11wg + 18g2 = 0

Reorder the terms:
11gw + 18g2 + w2 = 0

Solving
11gw + 18g2 + w2 = 0

Solving for variable 'g'.

Factor a trinomial.
(9g + w)(2g + w) = 0


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

Simplifying
9g + w = 0

Solving
9g + w = 0

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

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

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

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

Simplifying
g = -0.1111111111w

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

Simplifying
2g + w = 0

Solving
2g + w = 0

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

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

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

Divide each side by '2'.
g = -0.5w

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

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