(x+4)(x-6)=-16

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Solution for (x+4)(x-6)=-16 equation: 


Simplifying
(x + 4)(x + -6) = -16

Reorder the terms:
(4 + x)(x + -6) = -16

Reorder the terms:
(4 + x)(-6 + x) = -16

Multiply (4 + x) * (-6 + x)
(4(-6 + x) + x(-6 + x)) = -16
((-6 * 4 + x * 4) + x(-6 + x)) = -16
((-24 + 4x) + x(-6 + x)) = -16
(-24 + 4x + (-6 * x + x * x)) = -16
(-24 + 4x + (-6x + x2)) = -16

Combine like terms: 4x + -6x = -2x
(-24 + -2x + x2) = -16

Solving
-24 + -2x + x2 = -16

Solving for variable 'x'.

Reorder the terms:
-24 + 16 + -2x + x2 = -16 + 16

Combine like terms: -24 + 16 = -8
-8 + -2x + x2 = -16 + 16

Combine like terms: -16 + 16 = 0
-8 + -2x + x2 = 0

Factor a trinomial.
(-2 + -1x)(4 + -1x) = 0


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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-2, 4}

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