(v+4)*(v-6)=

Solution for (v+4)*(v-6)= equation:

Simplifying
(v + 4)(v + -6) = 0

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

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

Multiply (4 + v) * (-6 + v)
(4(-6 + v) + v(-6 + v)) = 0
((-6 * 4 + v * 4) + v(-6 + v)) = 0
((-24 + 4v) + v(-6 + v)) = 0
(-24 + 4v + (-6 * v + v * v)) = 0
(-24 + 4v + (-6v + v2)) = 0

Combine like terms: 4v + -6v = -2v
(-24 + -2v + v2) = 0

Solving
-24 + -2v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-4 + -1v)(6 + -1v) = 0

Subproblem 1
Set the factor '(-4 + -1v)' equal to zero and attempt to solve:

Simplifying
-4 + -1v = 0

Solving
-4 + -1v = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1v = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1v = 0 + 4
-1v = 0 + 4

Combine like terms: 0 + 4 = 4
-1v = 4

Divide each side by '-1'.
v = -4

Simplifying
v = -4
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 = {-4, 6}