(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.
(-4 + -1x)(2 + -1x) = 0


Subproblem 1
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

Subproblem 2
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
Solution
x = {-4, 2}

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