(x+4)(x-1)=84

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Solution for (x+4)(x-1)=84 equation: 


Simplifying
(x + 4)(x + -1) = 84

Reorder the terms:
(4 + x)(x + -1) = 84

Reorder the terms:
(4 + x)(-1 + x) = 84

Multiply (4 + x) * (-1 + x)
(4(-1 + x) + x(-1 + x)) = 84
((-1 * 4 + x * 4) + x(-1 + x)) = 84
((-4 + 4x) + x(-1 + x)) = 84
(-4 + 4x + (-1 * x + x * x)) = 84
(-4 + 4x + (-1x + x2)) = 84

Combine like terms: 4x + -1x = 3x
(-4 + 3x + x2) = 84

Solving
-4 + 3x + x2 = 84

Solving for variable 'x'.

Reorder the terms:
-4 + -84 + 3x + x2 = 84 + -84

Combine like terms: -4 + -84 = -88
-88 + 3x + x2 = 84 + -84

Combine like terms: 84 + -84 = 0
-88 + 3x + x2 = 0

Factor a trinomial.
(-11 + -1x)(8 + -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 '(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
Solution
x = {-11, 8}

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