w^2-4wg-45g^2=

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Solution for w^2-4wg-45g^2= equation: 


Simplifying
w2 + -4wg + -45g2 = 0

Reorder the terms:
-4gw + -45g2 + w2 = 0

Solving
-4gw + -45g2 + w2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-5g + -1w)(9g + -1w) = 0


Subproblem 1
Set the factor '(-5g + -1w)' equal to zero and attempt to solve:

Simplifying
-5g + -1w = 0

Solving
-5g + -1w = 0

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

Add 'w' to each side of the equation.
-5g + -1w + w = 0 + w

Combine like terms: -1w + w = 0
-5g + 0 = 0 + w
-5g = 0 + w
Remove the zero:
-5g = w

Divide each side by '-5'.
g = -0.2w

Simplifying
g = -0.2w

Subproblem 2
Set the factor '(9g + -1w)' equal to zero and attempt to solve:

Simplifying
9g + -1w = 0

Solving
9g + -1w = 0

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

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

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

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

Simplifying
g = 0.1111111111w
Solution
g = {-0.2w, 0.1111111111w}

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