2v^2-3v+50=v^2-12v+36

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Solution for 2v^2-3v+50=v^2-12v+36 equation: 


Simplifying
2v2 + -3v + 50 = v2 + -12v + 36

Reorder the terms:
50 + -3v + 2v2 = v2 + -12v + 36

Reorder the terms:
50 + -3v + 2v2 = 36 + -12v + v2

Solving
50 + -3v + 2v2 = 36 + -12v + v2

Solving for variable 'v'.

Reorder the terms:
50 + -36 + -3v + 12v + 2v2 + -1v2 = 36 + -12v + v2 + -36 + 12v + -1v2

Combine like terms: 50 + -36 = 14
14 + -3v + 12v + 2v2 + -1v2 = 36 + -12v + v2 + -36 + 12v + -1v2

Combine like terms: -3v + 12v = 9v
14 + 9v + 2v2 + -1v2 = 36 + -12v + v2 + -36 + 12v + -1v2

Combine like terms: 2v2 + -1v2 = 1v2
14 + 9v + 1v2 = 36 + -12v + v2 + -36 + 12v + -1v2

Reorder the terms:
14 + 9v + 1v2 = 36 + -36 + -12v + 12v + v2 + -1v2

Combine like terms: 36 + -36 = 0
14 + 9v + 1v2 = 0 + -12v + 12v + v2 + -1v2
14 + 9v + 1v2 = -12v + 12v + v2 + -1v2

Combine like terms: -12v + 12v = 0
14 + 9v + 1v2 = 0 + v2 + -1v2
14 + 9v + 1v2 = v2 + -1v2

Combine like terms: v2 + -1v2 = 0
14 + 9v + 1v2 = 0

Factor a trinomial.
(7 + v)(2 + v) = 0


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

Simplifying
7 + v = 0

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

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

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

Simplifying
v = -7

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

Simplifying
2 + v = 0

Solving
2 + v = 0

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

Add '-2' to each side of the equation.
2 + -2 + v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + v = 0 + -2
v = 0 + -2

Combine like terms: 0 + -2 = -2
v = -2

Simplifying
v = -2
Solution
v = {-7, -2}

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