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

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


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

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

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

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

Reorder the terms:
((-25gw + -20g2) + 5w * (4g + 5w)) = 0
((-25gw + -20g2) + 5w * (4g + 5w)) = 0
(-25gw + -20g2 + (4g * 5w + 5w * 5w)) = 0
(-25gw + -20g2 + (20gw + 25w2)) = 0

Reorder the terms:
(-25gw + 20gw + -20g2 + 25w2) = 0

Combine like terms: -25gw + 20gw = -5gw
(-5gw + -20g2 + 25w2) = 0

Solving
-5gw + -20g2 + 25w2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-1gw + -4g2 + 5w2) = 0

Factor a trinomial.
5((-4g + -5w)(g + -1w)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-4g + -5w)' equal to zero and attempt to solve:

Simplifying
-4g + -5w = 0

Solving
-4g + -5w = 0

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

Add '5w' to each side of the equation.
-4g + -5w + 5w = 0 + 5w

Combine like terms: -5w + 5w = 0
-4g + 0 = 0 + 5w
-4g = 0 + 5w
Remove the zero:
-4g = 5w

Divide each side by '-4'.
g = -1.25w

Simplifying
g = -1.25w

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

Simplifying
g + -1w = 0

Solving
g + -1w = 0

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

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

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

Simplifying
g = w
Solution
g = {-1.25w, w}

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