-3v^2-25v+35=-6v^2-3v

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Solution for -3v^2-25v+35=-6v^2-3v equation: 


Simplifying
-3v2 + -25v + 35 = -6v2 + -3v

Reorder the terms:
35 + -25v + -3v2 = -6v2 + -3v

Reorder the terms:
35 + -25v + -3v2 = -3v + -6v2

Solving
35 + -25v + -3v2 = -3v + -6v2

Solving for variable 'v'.

Reorder the terms:
35 + -25v + 3v + -3v2 + 6v2 = -3v + -6v2 + 3v + 6v2

Combine like terms: -25v + 3v = -22v
35 + -22v + -3v2 + 6v2 = -3v + -6v2 + 3v + 6v2

Combine like terms: -3v2 + 6v2 = 3v2
35 + -22v + 3v2 = -3v + -6v2 + 3v + 6v2

Reorder the terms:
35 + -22v + 3v2 = -3v + 3v + -6v2 + 6v2

Combine like terms: -3v + 3v = 0
35 + -22v + 3v2 = 0 + -6v2 + 6v2
35 + -22v + 3v2 = -6v2 + 6v2

Combine like terms: -6v2 + 6v2 = 0
35 + -22v + 3v2 = 0

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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