12=-3v^2+13v

Solution for 12=-3v^2+13v equation:

Simplifying
12 = -3v2 + 13v

Reorder the terms:
12 = 13v + -3v2

Solving
12 = 13v + -3v2

Solving for variable 'v'.

Reorder the terms:
12 + -13v + 3v2 = 13v + -13v + -3v2 + 3v2

Combine like terms: 13v + -13v = 0
12 + -13v + 3v2 = 0 + -3v2 + 3v2
12 + -13v + 3v2 = -3v2 + 3v2

Combine like terms: -3v2 + 3v2 = 0
12 + -13v + 3v2 = 0

Factor a trinomial.
(4 + -3v)(3 + -1v) = 0

Subproblem 1
Set the factor '(4 + -3v)' equal to zero and attempt to solve:

Simplifying
4 + -3v = 0

Solving
4 + -3v = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3v = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3v = 0 + -4
-3v = 0 + -4

Combine like terms: 0 + -4 = -4
-3v = -4

Divide each side by '-3'.
v = 1.333333333

Simplifying
v = 1.333333333
Subproblem 2
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
Solution
v = {1.333333333, 3}