-2v(-2v)-v+12=-3v(-3v)+6v

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Solution for -2v(-2v)-v+12=-3v(-3v)+6v equation: 


Simplifying
-2v(-2v) + -1v + 12 = -3v(-3v) + 6v

Remove parenthesis around (-2v)
-2v * -2v + -1v + 12 = -3v(-3v) + 6v

Reorder the terms for easier multiplication:
-2 * -2v * v + -1v + 12 = -3v(-3v) + 6v

Multiply -2 * -2
4v * v + -1v + 12 = -3v(-3v) + 6v

Multiply v * v
4v2 + -1v + 12 = -3v(-3v) + 6v

Reorder the terms:
12 + -1v + 4v2 = -3v(-3v) + 6v

Remove parenthesis around (-3v)
12 + -1v + 4v2 = -3v * -3v + 6v

Reorder the terms for easier multiplication:
12 + -1v + 4v2 = -3 * -3v * v + 6v

Multiply -3 * -3
12 + -1v + 4v2 = 9v * v + 6v

Multiply v * v
12 + -1v + 4v2 = 9v2 + 6v

Reorder the terms:
12 + -1v + 4v2 = 6v + 9v2

Solving
12 + -1v + 4v2 = 6v + 9v2

Solving for variable 'v'.

Reorder the terms:
12 + -1v + -6v + 4v2 + -9v2 = 6v + 9v2 + -6v + -9v2

Combine like terms: -1v + -6v = -7v
12 + -7v + 4v2 + -9v2 = 6v + 9v2 + -6v + -9v2

Combine like terms: 4v2 + -9v2 = -5v2
12 + -7v + -5v2 = 6v + 9v2 + -6v + -9v2

Reorder the terms:
12 + -7v + -5v2 = 6v + -6v + 9v2 + -9v2

Combine like terms: 6v + -6v = 0
12 + -7v + -5v2 = 0 + 9v2 + -9v2
12 + -7v + -5v2 = 9v2 + -9v2

Combine like terms: 9v2 + -9v2 = 0
12 + -7v + -5v2 = 0

Factor a trinomial.
(1 + -1v)(12 + 5v) = 0


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

Simplifying
1 + -1v = 0

Solving
1 + -1v = 0

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

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

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

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

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

Simplifying
v = 1

Subproblem 2
Set the factor '(12 + 5v)' equal to zero and attempt to solve:

Simplifying
12 + 5v = 0

Solving
12 + 5v = 0

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

Add '-12' to each side of the equation.
12 + -12 + 5v = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 5v = 0 + -12
5v = 0 + -12

Combine like terms: 0 + -12 = -12
5v = -12

Divide each side by '5'.
v = -2.4

Simplifying
v = -2.4
Solution
v = {1, -2.4}

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