9v^2+42vw+49vw^2=0

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Solution for 9v^2+42vw+49vw^2=0 equation: 


Simplifying
9v2 + 42vw + 49vw2 = 0

Reorder the terms:
42vw + 49vw2 + 9v2 = 0

Solving
42vw + 49vw2 + 9v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), 'v'.
v(42w + 49w2 + 9v) = 0


Subproblem 1
Set the factor 'v' equal to zero and attempt to solve:

Simplifying
v = 0

Solving
v = 0

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

Simplifying
v = 0

Subproblem 2
Set the factor '(42w + 49w2 + 9v)' equal to zero and attempt to solve:

Simplifying
42w + 49w2 + 9v = 0

Reorder the terms:
9v + 42w + 49w2 = 0

Solving
9v + 42w + 49w2 = 0

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

Add '-42w' to each side of the equation.
9v + 42w + -42w + 49w2 = 0 + -42w

Combine like terms: 42w + -42w = 0
9v + 0 + 49w2 = 0 + -42w
9v + 49w2 = 0 + -42w
Remove the zero:
9v + 49w2 = -42w

Add '-49w2' to each side of the equation.
9v + 49w2 + -49w2 = -42w + -49w2

Combine like terms: 49w2 + -49w2 = 0
9v + 0 = -42w + -49w2
9v = -42w + -49w2

Divide each side by '9'.
v = -4.666666667w + -5.444444444w2

Simplifying
v = -4.666666667w + -5.444444444w2
Solution
v = {0, -4.666666667w + -5.444444444w2}

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