2v^2-15v+8=(v-6)

Solution for 2v^2-15v+8=(v-6) equation:

Simplifying
2v2 + -15v + 8 = (v + -6)

Reorder the terms:
8 + -15v + 2v2 = (v + -6)

Reorder the terms:
8 + -15v + 2v2 = (-6 + v)

Remove parenthesis around (-6 + v)
8 + -15v + 2v2 = -6 + v

Solving
8 + -15v + 2v2 = -6 + v

Solving for variable 'v'.

Reorder the terms:
8 + 6 + -15v + -1v + 2v2 = -6 + v + 6 + -1v

Combine like terms: 8 + 6 = 14
14 + -15v + -1v + 2v2 = -6 + v + 6 + -1v

Combine like terms: -15v + -1v = -16v
14 + -16v + 2v2 = -6 + v + 6 + -1v

Reorder the terms:
14 + -16v + 2v2 = -6 + 6 + v + -1v

Combine like terms: -6 + 6 = 0
14 + -16v + 2v2 = 0 + v + -1v
14 + -16v + 2v2 = v + -1v

Combine like terms: v + -1v = 0
14 + -16v + 2v2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(7 + -8v + v2) = 0

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

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

Simplifying
7 + -1v = 0

Solving
7 + -1v = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1v = 0 + -7
-1v = 0 + -7

Combine like terms: 0 + -7 = -7
-1v = -7

Divide each side by '-1'.
v = 7

Simplifying
v = 7
Solution
v = {1, 7}