7v^2-9v=-2

Solution for 7v^2-9v=-2 equation:

Simplifying
7v2 + -9v = -2

Reorder the terms:
-9v + 7v2 = -2

Solving
-9v + 7v2 = -2

Solving for variable 'v'.

Reorder the terms:
2 + -9v + 7v2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + -9v + 7v2 = 0

Factor a trinomial.
(2 + -7v)(1 + -1v) = 0

Subproblem 1
Set the factor '(2 + -7v)' equal to zero and attempt to solve:

Simplifying
2 + -7v = 0

Solving
2 + -7v = 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 + -7v = 0 + -2

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

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

Divide each side by '-7'.
v = 0.2857142857

Simplifying
v = 0.2857142857
Subproblem 2
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
Solution
v = {0.2857142857, 1}