0=4x^2-16x-16-2x-4-2

Solution for 0=4x^2-16x-16-2x-4-2 equation:

Simplifying
0 = 4x2 + -16x + -16 + -2x + -4 + -2

Reorder the terms:
0 = -16 + -4 + -2 + -16x + -2x + 4x2

Combine like terms: -16 + -4 = -20
0 = -20 + -2 + -16x + -2x + 4x2

Combine like terms: -20 + -2 = -22
0 = -22 + -16x + -2x + 4x2

Combine like terms: -16x + -2x = -18x
0 = -22 + -18x + 4x2

Solving
0 = -22 + -18x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + 22 = 22
22 + 18x + -4x2 = -22 + -18x + 4x2 + 22 + 18x + -4x2

Reorder the terms:
22 + 18x + -4x2 = -22 + 22 + -18x + 18x + 4x2 + -4x2

Combine like terms: -22 + 22 = 0
22 + 18x + -4x2 = 0 + -18x + 18x + 4x2 + -4x2
22 + 18x + -4x2 = -18x + 18x + 4x2 + -4x2

Combine like terms: -18x + 18x = 0
22 + 18x + -4x2 = 0 + 4x2 + -4x2
22 + 18x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
22 + 18x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(11 + 9x + -2x2) = 0

Factor a trinomial.
2((11 + -2x)(1 + x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(11 + -2x)' equal to zero and attempt to solve:

Simplifying
11 + -2x = 0

Solving
11 + -2x = 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 + -2x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = 0 + -11
-2x = 0 + -11

Combine like terms: 0 + -11 = -11
-2x = -11

Divide each side by '-2'.
x = 5.5

Simplifying
x = 5.5
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

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

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

Simplifying
x = -1
Solution
x = {5.5, -1}