(x+11)(x-4)=16

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Solution for (x+11)(x-4)=16 equation: 


Simplifying
(x + 11)(x + -4) = 16

Reorder the terms:
(11 + x)(x + -4) = 16

Reorder the terms:
(11 + x)(-4 + x) = 16

Multiply (11 + x) * (-4 + x)
(11(-4 + x) + x(-4 + x)) = 16
((-4 * 11 + x * 11) + x(-4 + x)) = 16
((-44 + 11x) + x(-4 + x)) = 16
(-44 + 11x + (-4 * x + x * x)) = 16
(-44 + 11x + (-4x + x2)) = 16

Combine like terms: 11x + -4x = 7x
(-44 + 7x + x2) = 16

Solving
-44 + 7x + x2 = 16

Solving for variable 'x'.

Reorder the terms:
-44 + -16 + 7x + x2 = 16 + -16

Combine like terms: -44 + -16 = -60
-60 + 7x + x2 = 16 + -16

Combine like terms: 16 + -16 = 0
-60 + 7x + x2 = 0

Factor a trinomial.
(-12 + -1x)(5 + -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 '(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 = {-12, 5}

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