v^2+4vg-32g^2=

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Solution for v^2+4vg-32g^2= equation: 


Simplifying
v2 + 4vg + -32g2 = 0

Reorder the terms:
4gv + -32g2 + v2 = 0

Solving
4gv + -32g2 + v2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-8g + -1v)(4g + -1v) = 0


Subproblem 1
Set the factor '(-8g + -1v)' equal to zero and attempt to solve:

Simplifying
-8g + -1v = 0

Solving
-8g + -1v = 0

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

Add 'v' to each side of the equation.
-8g + -1v + v = 0 + v

Combine like terms: -1v + v = 0
-8g + 0 = 0 + v
-8g = 0 + v
Remove the zero:
-8g = v

Divide each side by '-8'.
g = -0.125v

Simplifying
g = -0.125v

Subproblem 2
Set the factor '(4g + -1v)' equal to zero and attempt to solve:

Simplifying
4g + -1v = 0

Solving
4g + -1v = 0

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

Add 'v' to each side of the equation.
4g + -1v + v = 0 + v

Combine like terms: -1v + v = 0
4g + 0 = 0 + v
4g = 0 + v
Remove the zero:
4g = v

Divide each side by '4'.
g = 0.25v

Simplifying
g = 0.25v
Solution
g = {-0.125v, 0.25v}

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