(x+4)(x-1)=50

Solution for (x+4)(x-1)=50 equation:

Simplifying
(x + 4)(x + -1) = 50

Reorder the terms:
(4 + x)(x + -1) = 50

Reorder the terms:
(4 + x)(-1 + x) = 50

Multiply (4 + x) * (-1 + x)
(4(-1 + x) + x(-1 + x)) = 50
((-1 * 4 + x * 4) + x(-1 + x)) = 50
((-4 + 4x) + x(-1 + x)) = 50
(-4 + 4x + (-1 * x + x * x)) = 50
(-4 + 4x + (-1x + x2)) = 50

Combine like terms: 4x + -1x = 3x
(-4 + 3x + x2) = 50

Solving
-4 + 3x + x2 = 50

Solving for variable 'x'.

Reorder the terms:
-4 + -50 + 3x + x2 = 50 + -50

Combine like terms: -4 + -50 = -54
-54 + 3x + x2 = 50 + -50

Combine like terms: 50 + -50 = 0
-54 + 3x + x2 = 0

Factor a trinomial.
(-9 + -1x)(6 + -1x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-9, 6}