2v^2-9v-9=v^2-6v+9

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Solution for 2v^2-9v-9=v^2-6v+9 equation: 


Simplifying
2v2 + -9v + -9 = v2 + -6v + 9

Reorder the terms:
-9 + -9v + 2v2 = v2 + -6v + 9

Reorder the terms:
-9 + -9v + 2v2 = 9 + -6v + v2

Solving
-9 + -9v + 2v2 = 9 + -6v + v2

Solving for variable 'v'.

Reorder the terms:
-9 + -9 + -9v + 6v + 2v2 + -1v2 = 9 + -6v + v2 + -9 + 6v + -1v2

Combine like terms: -9 + -9 = -18
-18 + -9v + 6v + 2v2 + -1v2 = 9 + -6v + v2 + -9 + 6v + -1v2

Combine like terms: -9v + 6v = -3v
-18 + -3v + 2v2 + -1v2 = 9 + -6v + v2 + -9 + 6v + -1v2

Combine like terms: 2v2 + -1v2 = 1v2
-18 + -3v + 1v2 = 9 + -6v + v2 + -9 + 6v + -1v2

Reorder the terms:
-18 + -3v + 1v2 = 9 + -9 + -6v + 6v + v2 + -1v2

Combine like terms: 9 + -9 = 0
-18 + -3v + 1v2 = 0 + -6v + 6v + v2 + -1v2
-18 + -3v + 1v2 = -6v + 6v + v2 + -1v2

Combine like terms: -6v + 6v = 0
-18 + -3v + 1v2 = 0 + v2 + -1v2
-18 + -3v + 1v2 = v2 + -1v2

Combine like terms: v2 + -1v2 = 0
-18 + -3v + 1v2 = 0

Factor a trinomial.
(-3 + -1v)(6 + -1v) = 0


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

Simplifying
-3 + -1v = 0

Solving
-3 + -1v = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1v = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1v = 0 + 3
-1v = 0 + 3

Combine like terms: 0 + 3 = 3
-1v = 3

Divide each side by '-1'.
v = -3

Simplifying
v = -3

Subproblem 2
Set the factor '(6 + -1v)' equal to zero and attempt to solve:

Simplifying
6 + -1v = 0

Solving
6 + -1v = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1v = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1v = 0 + -6
-1v = 0 + -6

Combine like terms: 0 + -6 = -6
-1v = -6

Divide each side by '-1'.
v = 6

Simplifying
v = 6
Solution
v = {-3, 6}

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