5v^2-32v+35=0

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Solution for 5v^2-32v+35=0 equation: 


Simplifying
5v2 + -32v + 35 = 0

Reorder the terms:
35 + -32v + 5v2 = 0

Solving
35 + -32v + 5v2 = 0

Solving for variable 'v'.

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


Subproblem 1
Set the factor '(7 + -5v)' equal to zero and attempt to solve:

Simplifying
7 + -5v = 0

Solving
7 + -5v = 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 + -5v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5v = 0 + -7
-5v = 0 + -7

Combine like terms: 0 + -7 = -7
-5v = -7

Divide each side by '-5'.
v = 1.4

Simplifying
v = 1.4

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 = {1.4, 5}

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