(x+1)(x-4)=150

Solution for (x+1)(x-4)=150 equation:

Simplifying
(x + 1)(x + -4) = 150

Reorder the terms:
(1 + x)(x + -4) = 150

Reorder the terms:
(1 + x)(-4 + x) = 150

Multiply (1 + x) * (-4 + x)
(1(-4 + x) + x(-4 + x)) = 150
((-4 * 1 + x * 1) + x(-4 + x)) = 150
((-4 + 1x) + x(-4 + x)) = 150
(-4 + 1x + (-4 * x + x * x)) = 150
(-4 + 1x + (-4x + x2)) = 150

Combine like terms: 1x + -4x = -3x
(-4 + -3x + x2) = 150

Solving
-4 + -3x + x2 = 150

Solving for variable 'x'.

Reorder the terms:
-4 + -150 + -3x + x2 = 150 + -150

Combine like terms: -4 + -150 = -154
-154 + -3x + x2 = 150 + -150

Combine like terms: 150 + -150 = 0
-154 + -3x + x2 = 0

Factor a trinomial.
(-11 + -1x)(14 + -1x) = 0

Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve:

Simplifying
-11 + -1x = 0

Solving
-11 + -1x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = 0 + 11
-1x = 0 + 11

Combine like terms: 0 + 11 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11
Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14
Solution
x = {-11, 14}