(v-2)(v+5)=

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

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

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

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

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

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

Solving
-10 + 3v + v2 = 0

Solving for variable 'v'.

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

Subproblem 1
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
Subproblem 2
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
Solution
v = {-5, 2}