v^2-2vx-35x^2=

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Solution for v^2-2vx-35x^2= equation: 


Simplifying
v2 + -2vx + -35x2 = 0

Reorder the terms:
-2vx + v2 + -35x2 = 0

Solving
-2vx + v2 + -35x2 = 0

Solving for variable 'v'.

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


Subproblem 1
Set the factor '(v + -7x)' equal to zero and attempt to solve:

Simplifying
v + -7x = 0

Solving
v + -7x = 0

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

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

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

Simplifying
v = 7x

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

Simplifying
v + 5x = 0

Solving
v + 5x = 0

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

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

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

Simplifying
v = -5x
Solution
v = {7x, -5x}

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