(v-6)(v+3)=

Solution for (v-6)(v+3)= equation:

Simplifying
(v + -6)(v + 3) = 0

Reorder the terms:
(-6 + v)(v + 3) = 0

Reorder the terms:
(-6 + v)(3 + v) = 0

Multiply (-6 + v) * (3 + v)
(-6(3 + v) + v(3 + v)) = 0
((3 * -6 + v * -6) + v(3 + v)) = 0
((-18 + -6v) + v(3 + v)) = 0
(-18 + -6v + (3 * v + v * v)) = 0
(-18 + -6v + (3v + v2)) = 0

Combine like terms: -6v + 3v = -3v
(-18 + -3v + v2) = 0

Solving
-18 + -3v + v2 = 0

Solving for variable 'v'.

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}