2v^2+9vw-35w^2=0

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Solution for 2v^2+9vw-35w^2=0 equation: 


Simplifying
2v2 + 9vw + -35w2 = 0

Reorder the terms:
9vw + 2v2 + -35w2 = 0

Solving
9vw + 2v2 + -35w2 = 0

Solving for variable 'v'.

Factor a trinomial.
(2v + -5w)(v + 7w) = 0


Subproblem 1
Set the factor '(2v + -5w)' equal to zero and attempt to solve:

Simplifying
2v + -5w = 0

Solving
2v + -5w = 0

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

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

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

Divide each side by '2'.
v = 2.5w

Simplifying
v = 2.5w

Subproblem 2
Set the factor '(v + 7w)' equal to zero and attempt to solve:

Simplifying
v + 7w = 0

Solving
v + 7w = 0

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

Add '-7w' to each side of the equation.
v + 7w + -7w = 0 + -7w

Combine like terms: 7w + -7w = 0
v + 0 = 0 + -7w
v = 0 + -7w
Remove the zero:
v = -7w

Simplifying
v = -7w
Solution
v = {2.5w, -7w}

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