20v^2-23vw+6w^2=

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Solution for 20v^2-23vw+6w^2= equation: 


Simplifying
20v2 + -23vw + 6w2 = 0

Reorder the terms:
-23vw + 20v2 + 6w2 = 0

Solving
-23vw + 20v2 + 6w2 = 0

Solving for variable 'v'.

Factor a trinomial.
(4v + -3w)(5v + -2w) = 0


Subproblem 1
Set the factor '(4v + -3w)' equal to zero and attempt to solve:

Simplifying
4v + -3w = 0

Solving
4v + -3w = 0

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

Add '3w' to each side of the equation.
4v + -3w + 3w = 0 + 3w

Combine like terms: -3w + 3w = 0
4v + 0 = 0 + 3w
4v = 0 + 3w
Remove the zero:
4v = 3w

Divide each side by '4'.
v = 0.75w

Simplifying
v = 0.75w

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

Simplifying
5v + -2w = 0

Solving
5v + -2w = 0

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

Add '2w' to each side of the equation.
5v + -2w + 2w = 0 + 2w

Combine like terms: -2w + 2w = 0
5v + 0 = 0 + 2w
5v = 0 + 2w
Remove the zero:
5v = 2w

Divide each side by '5'.
v = 0.4w

Simplifying
v = 0.4w
Solution
v = {0.75w, 0.4w}

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