(v-5)(v+2)=

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

Simplifying
(v + -5)(v + 2) = 0

Reorder the terms:
(-5 + v)(v + 2) = 0

Reorder the terms:
(-5 + v)(2 + v) = 0

Multiply (-5 + v) * (2 + v)
(-5(2 + v) + v(2 + v)) = 0
((2 * -5 + v * -5) + v(2 + v)) = 0
((-10 + -5v) + v(2 + v)) = 0
(-10 + -5v + (2 * v + v * v)) = 0
(-10 + -5v + (2v + v2)) = 0

Combine like terms: -5v + 2v = -3v
(-10 + -3v + v2) = 0

Solving
-10 + -3v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-2 + -1v)(5 + -1v) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(5 + -1v)' equal to zero and attempt to solve:

Simplifying
5 + -1v = 0

Solving
5 + -1v = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1v = 0 + -5
-1v = 0 + -5

Combine like terms: 0 + -5 = -5
-1v = -5

Divide each side by '-1'.
v = 5

Simplifying
v = 5
Solution
v = {-2, 5}