(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.
(-6 + -1v)(3 + -1v) = 0

Subproblem 1
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
Subproblem 2
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
Solution
v = {-6, 3}