(3w-5g)(3w+4g)=

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Solution for (3w-5g)(3w+4g)= equation: 


Simplifying
(3w + -5g)(3w + 4g) = 0

Reorder the terms:
(-5g + 3w)(3w + 4g) = 0

Reorder the terms:
(-5g + 3w)(4g + 3w) = 0

Multiply (-5g + 3w) * (4g + 3w)
(-5g * (4g + 3w) + 3w * (4g + 3w)) = 0
((4g * -5g + 3w * -5g) + 3w * (4g + 3w)) = 0

Reorder the terms:
((-15gw + -20g2) + 3w * (4g + 3w)) = 0
((-15gw + -20g2) + 3w * (4g + 3w)) = 0
(-15gw + -20g2 + (4g * 3w + 3w * 3w)) = 0
(-15gw + -20g2 + (12gw + 9w2)) = 0

Reorder the terms:
(-15gw + 12gw + -20g2 + 9w2) = 0

Combine like terms: -15gw + 12gw = -3gw
(-3gw + -20g2 + 9w2) = 0

Solving
-3gw + -20g2 + 9w2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-4g + -3w)(5g + -3w) = 0


Subproblem 1
Set the factor '(-4g + -3w)' equal to zero and attempt to solve:

Simplifying
-4g + -3w = 0

Solving
-4g + -3w = 0

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

Add '3w' to each side of the equation.
-4g + -3w + 3w = 0 + 3w

Combine like terms: -3w + 3w = 0
-4g + 0 = 0 + 3w
-4g = 0 + 3w
Remove the zero:
-4g = 3w

Divide each side by '-4'.
g = -0.75w

Simplifying
g = -0.75w

Subproblem 2
Set the factor '(5g + -3w)' equal to zero and attempt to solve:

Simplifying
5g + -3w = 0

Solving
5g + -3w = 0

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

Add '3w' to each side of the equation.
5g + -3w + 3w = 0 + 3w

Combine like terms: -3w + 3w = 0
5g + 0 = 0 + 3w
5g = 0 + 3w
Remove the zero:
5g = 3w

Divide each side by '5'.
g = 0.6w

Simplifying
g = 0.6w
Solution
g = {-0.75w, 0.6w}

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