(v-7)(v+3)=

Solution for (v-7)(v+3)= equation:

Simplifying
(v + -7)(v + 3) = 0

Reorder the terms:
(-7 + v)(v + 3) = 0

Reorder the terms:
(-7 + v)(3 + v) = 0

Multiply (-7 + v) * (3 + v)
(-7(3 + v) + v(3 + v)) = 0
((3 * -7 + v * -7) + v(3 + v)) = 0
((-21 + -7v) + v(3 + v)) = 0
(-21 + -7v + (3 * v + v * v)) = 0
(-21 + -7v + (3v + v2)) = 0

Combine like terms: -7v + 3v = -4v
(-21 + -4v + v2) = 0

Solving
-21 + -4v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-3 + -1v)(7 + -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 '(7 + -1v)' equal to zero and attempt to solve:

Simplifying
7 + -1v = 0

Solving
7 + -1v = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1v = 0 + -7
-1v = 0 + -7

Combine like terms: 0 + -7 = -7
-1v = -7

Divide each side by '-1'.
v = 7

Simplifying
v = 7
Solution
v = {-3, 7}