2v^2-7v=-6

Solution for 2v^2-7v=-6 equation:

Simplifying
2v2 + -7v = -6

Reorder the terms:
-7v + 2v2 = -6

Solving
-7v + 2v2 = -6

Solving for variable 'v'.

Reorder the terms:
6 + -7v + 2v2 = -6 + 6

Combine like terms: -6 + 6 = 0
6 + -7v + 2v2 = 0

Factor a trinomial.
(3 + -2v)(2 + -1v) = 0

Subproblem 1
Set the factor '(3 + -2v)' equal to zero and attempt to solve:

Simplifying
3 + -2v = 0

Solving
3 + -2v = 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 + -2v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2v = 0 + -3
-2v = 0 + -3

Combine like terms: 0 + -3 = -3
-2v = -3

Divide each side by '-2'.
v = 1.5

Simplifying
v = 1.5
Subproblem 2
Set the factor '(2 + -1v)' equal to zero and attempt to solve:

Simplifying
2 + -1v = 0

Solving
2 + -1v = 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 + -1v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1v = 0 + -2
-1v = 0 + -2

Combine like terms: 0 + -2 = -2
-1v = -2

Divide each side by '-1'.
v = 2

Simplifying
v = 2
Solution
v = {1.5, 2}