(v+1)(v-4)=

Solution for (v+1)(v-4)= equation:

Simplifying
(v + 1)(v + -4) = 0

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

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

Multiply (1 + v) * (-4 + v)
(1(-4 + v) + v(-4 + v)) = 0
((-4 * 1 + v * 1) + v(-4 + v)) = 0
((-4 + 1v) + v(-4 + v)) = 0
(-4 + 1v + (-4 * v + v * v)) = 0
(-4 + 1v + (-4v + v2)) = 0

Combine like terms: 1v + -4v = -3v
(-4 + -3v + v2) = 0

Solving
-4 + -3v + v2 = 0

Solving for variable 'v'.

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

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

Simplifying
-1 + -1v = 0

Solving
-1 + -1v = 0

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

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

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

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

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

Simplifying
v = -1
Subproblem 2
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
Solution
v = {-1, 4}