v^2-10vg+16g^2=

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Solution for v^2-10vg+16g^2= equation: 


Simplifying
v2 + -10vg + 16g2 = 0

Reorder the terms:
-10gv + 16g2 + v2 = 0

Solving
-10gv + 16g2 + v2 = 0

Solving for variable 'g'.

Factor a trinomial.
(2g + -1v)(8g + -1v) = 0


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

Simplifying
2g + -1v = 0

Solving
2g + -1v = 0

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

Add 'v' to each side of the equation.
2g + -1v + v = 0 + v

Combine like terms: -1v + v = 0
2g + 0 = 0 + v
2g = 0 + v
Remove the zero:
2g = v

Divide each side by '2'.
g = 0.5v

Simplifying
g = 0.5v

Subproblem 2
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
Solution
g = {0.5v, 0.125v}

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