(v+2)(v-5)=8

Solution for (v+2)(v-5)=8 equation:

Simplifying
(v + 2)(v + -5) = 8

Reorder the terms:
(2 + v)(v + -5) = 8

Reorder the terms:
(2 + v)(-5 + v) = 8

Multiply (2 + v) * (-5 + v)
(2(-5 + v) + v(-5 + v)) = 8
((-5 * 2 + v * 2) + v(-5 + v)) = 8
((-10 + 2v) + v(-5 + v)) = 8
(-10 + 2v + (-5 * v + v * v)) = 8
(-10 + 2v + (-5v + v2)) = 8

Combine like terms: 2v + -5v = -3v
(-10 + -3v + v2) = 8

Solving
-10 + -3v + v2 = 8

Solving for variable 'v'.

Reorder the terms:
-10 + -8 + -3v + v2 = 8 + -8

Combine like terms: -10 + -8 = -18
-18 + -3v + v2 = 8 + -8

Combine like terms: 8 + -8 = 0
-18 + -3v + v2 = 0

Factor a trinomial.
(-3 + -1v)(6 + -1v) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(6 + -1v)' equal to zero and attempt to solve:

Simplifying
6 + -1v = 0

Solving
6 + -1v = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1v = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1v = 0 + -6
-1v = 0 + -6

Combine like terms: 0 + -6 = -6
-1v = -6

Divide each side by '-1'.
v = 6

Simplifying
v = 6
Solution
v = {-3, 6}