(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.
(-7 + -1v)(3 + -1v) = 0

Subproblem 1
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
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 = {-7, 3}