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

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


Simplifying
16 + -1((4 + x) * x) = ((4 + x) * x) + -4x

Reorder the terms for easier multiplication:
16 + -1(x(4 + x)) = ((4 + x) * x) + -4x
16 + -1((4 * x + x * x)) = ((4 + x) * x) + -4x
16 + -1((4x + x2)) = ((4 + x) * x) + -4x
16 + (4x * -1 + x2 * -1) = ((4 + x) * x) + -4x
16 + (-4x + -1x2) = ((4 + x) * x) + -4x

Reorder the terms for easier multiplication:
16 + -4x + -1x2 = (x(4 + x)) + -4x
16 + -4x + -1x2 = ((4 * x + x * x)) + -4x
16 + -4x + -1x2 = ((4x + x2)) + -4x
16 + -4x + -1x2 = (4x + x2) + -4x

Remove parenthesis around (4x + x2)
16 + -4x + -1x2 = 4x + x2 + -4x

Reorder the terms:
16 + -4x + -1x2 = 4x + -4x + x2

Combine like terms: 4x + -4x = 0
16 + -4x + -1x2 = 0 + x2
16 + -4x + -1x2 = x2

Solving
16 + -4x + -1x2 = x2

Solving for variable 'x'.

Combine like terms: -1x2 + -1x2 = -2x2
16 + -4x + -2x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + -4x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + -2x + -1x2) = 0

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

Ignore the factor 2.

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 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 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 + x = 0 + -4

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

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

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

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