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

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


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

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

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

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

Reorder the terms:
((-20gv + -16g2) + 4v * (4g + 5v)) = 0
((-20gv + -16g2) + 4v * (4g + 5v)) = 0
(-20gv + -16g2 + (4g * 4v + 5v * 4v)) = 0
(-20gv + -16g2 + (16gv + 20v2)) = 0

Reorder the terms:
(-20gv + 16gv + -16g2 + 20v2) = 0

Combine like terms: -20gv + 16gv = -4gv
(-4gv + -16g2 + 20v2) = 0

Solving
-4gv + -16g2 + 20v2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-1gv + -4g2 + 5v2) = 0

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

Ignore the factor 4.

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

Simplifying
-4g + -5v = 0

Solving
-4g + -5v = 0

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

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

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

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

Simplifying
g = -1.25v

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

Simplifying
g + -1v = 0

Solving
g + -1v = 0

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

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

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

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

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