3v^2-8v-35=0

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Solution for 3v^2-8v-35=0 equation: 


Simplifying
3v2 + -8v + -35 = 0

Reorder the terms:
-35 + -8v + 3v2 = 0

Solving
-35 + -8v + 3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-7 + -3v)(5 + -1v) = 0


Subproblem 1
Set the factor '(-7 + -3v)' equal to zero and attempt to solve:

Simplifying
-7 + -3v = 0

Solving
-7 + -3v = 0

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

Add '7' to each side of the equation.
-7 + 7 + -3v = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3v = 0 + 7
-3v = 0 + 7

Combine like terms: 0 + 7 = 7
-3v = 7

Divide each side by '-3'.
v = -2.333333333

Simplifying
v = -2.333333333

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

Simplifying
5 + -1v = 0

Solving
5 + -1v = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1v = 0 + -5
-1v = 0 + -5

Combine like terms: 0 + -5 = -5
-1v = -5

Divide each side by '-1'.
v = 5

Simplifying
v = 5
Solution
v = {-2.333333333, 5}

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