25v^2+80vg+64g^2=0

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Solution for 25v^2+80vg+64g^2=0 equation: 


Simplifying
25v2 + 80vg + 64g2 = 0

Reorder the terms:
80gv + 64g2 + 25v2 = 0

Solving
80gv + 64g2 + 25v2 = 0

Solving for variable 'g'.

Factor a trinomial.
(8g + 5v)(8g + 5v) = 0


Subproblem 1
Set the factor '(8g + 5v)' equal to zero and attempt to solve:

Simplifying
8g + 5v = 0

Solving
8g + 5v = 0

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

Add '-5v' to each side of the equation.
8g + 5v + -5v = 0 + -5v

Combine like terms: 5v + -5v = 0
8g + 0 = 0 + -5v
8g = 0 + -5v
Remove the zero:
8g = -5v

Divide each side by '8'.
g = -0.625v

Simplifying
g = -0.625v

Subproblem 2
Set the factor '(8g + 5v)' equal to zero and attempt to solve:

Simplifying
8g + 5v = 0

Solving
8g + 5v = 0

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

Add '-5v' to each side of the equation.
8g + 5v + -5v = 0 + -5v

Combine like terms: 5v + -5v = 0
8g + 0 = 0 + -5v
8g = 0 + -5v
Remove the zero:
8g = -5v

Divide each side by '8'.
g = -0.625v

Simplifying
g = -0.625v
Solution
g = {-0.625v, -0.625v}

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