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

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


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

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

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

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

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

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

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

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

Solving for variable 'g'.

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

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

Ignore the factor 4.

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

Simplifying
-1g + -1v = 0

Solving
-1g + -1v = 0

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

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

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

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

Simplifying
g = -1v

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

Simplifying
5g + -4v = 0

Solving
5g + -4v = 0

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

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

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

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

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

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