(x+4)(x-1)=104

Solution for (x+4)(x-1)=104 equation:

Simplifying
(x + 4)(x + -1) = 104

Reorder the terms:
(4 + x)(x + -1) = 104

Reorder the terms:
(4 + x)(-1 + x) = 104

Multiply (4 + x) * (-1 + x)
(4(-1 + x) + x(-1 + x)) = 104
((-1 * 4 + x * 4) + x(-1 + x)) = 104
((-4 + 4x) + x(-1 + x)) = 104
(-4 + 4x + (-1 * x + x * x)) = 104
(-4 + 4x + (-1x + x2)) = 104

Combine like terms: 4x + -1x = 3x
(-4 + 3x + x2) = 104

Solving
-4 + 3x + x2 = 104

Solving for variable 'x'.

Reorder the terms:
-4 + -104 + 3x + x2 = 104 + -104

Combine like terms: -4 + -104 = -108
-108 + 3x + x2 = 104 + -104

Combine like terms: 104 + -104 = 0
-108 + 3x + x2 = 0

Factor a trinomial.
(-12 + -1x)(9 + -1x) = 0

Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve:

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12
Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-12, 9}