2v^2+10v+8=(v-1)

Solution for 2v^2+10v+8=(v-1) equation:

Simplifying
2v2 + 10v + 8 = (v + -1)

Reorder the terms:
8 + 10v + 2v2 = (v + -1)

Reorder the terms:
8 + 10v + 2v2 = (-1 + v)

Remove parenthesis around (-1 + v)
8 + 10v + 2v2 = -1 + v

Solving
8 + 10v + 2v2 = -1 + v

Solving for variable 'v'.

Reorder the terms:
8 + 1 + 10v + -1v + 2v2 = -1 + v + 1 + -1v

Combine like terms: 8 + 1 = 9
9 + 10v + -1v + 2v2 = -1 + v + 1 + -1v

Combine like terms: 10v + -1v = 9v
9 + 9v + 2v2 = -1 + v + 1 + -1v

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

Combine like terms: -1 + 1 = 0
9 + 9v + 2v2 = 0 + v + -1v
9 + 9v + 2v2 = v + -1v

Combine like terms: v + -1v = 0
9 + 9v + 2v2 = 0

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

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

Simplifying
3 + v = 0

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

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

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

Simplifying
v = -3
Subproblem 2
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
Solution
v = {-3, -1.5}