(x+4)(x-1)=36

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Solution for (x+4)(x-1)=36 equation: 


Simplifying
(x + 4)(x + -1) = 36

Reorder the terms:
(4 + x)(x + -1) = 36

Reorder the terms:
(4 + x)(-1 + x) = 36

Multiply (4 + x) * (-1 + x)
(4(-1 + x) + x(-1 + x)) = 36
((-1 * 4 + x * 4) + x(-1 + x)) = 36
((-4 + 4x) + x(-1 + x)) = 36
(-4 + 4x + (-1 * x + x * x)) = 36
(-4 + 4x + (-1x + x2)) = 36

Combine like terms: 4x + -1x = 3x
(-4 + 3x + x2) = 36

Solving
-4 + 3x + x2 = 36

Solving for variable 'x'.

Reorder the terms:
-4 + -36 + 3x + x2 = 36 + -36

Combine like terms: -4 + -36 = -40
-40 + 3x + x2 = 36 + -36

Combine like terms: 36 + -36 = 0
-40 + 3x + x2 = 0

Factor a trinomial.
(-8 + -1x)(5 + -1x) = 0


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-8, 5}

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