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

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


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

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

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

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

Reorder the terms:
((-20gw + -20g2) + 4w * (4g + 4w)) = 0
((-20gw + -20g2) + 4w * (4g + 4w)) = 0
(-20gw + -20g2 + (4g * 4w + 4w * 4w)) = 0
(-20gw + -20g2 + (16gw + 16w2)) = 0

Reorder the terms:
(-20gw + 16gw + -20g2 + 16w2) = 0

Combine like terms: -20gw + 16gw = -4gw
(-4gw + -20g2 + 16w2) = 0

Solving
-4gw + -20g2 + 16w2 = 0

Solving for variable 'g'.

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

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

Ignore the factor 4.

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

Simplifying
-1g + -1w = 0

Solving
-1g + -1w = 0

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

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

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

Divide each side by '-1'.
g = -1w

Simplifying
g = -1w

Subproblem 2
Set the factor '(5g + -4w)' equal to zero and attempt to solve:

Simplifying
5g + -4w = 0

Solving
5g + -4w = 0

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

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

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

Divide each side by '5'.
g = 0.8w

Simplifying
g = 0.8w
Solution
g = {-1w, 0.8w}

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