2(x+5)=16x+2(x^2+11)

Solution for 2(x+5)=16x+2(x^2+11) equation:

Simplifying
2(x + 5) = 16x + 2(x2 + 11)

Reorder the terms:
2(5 + x) = 16x + 2(x2 + 11)
(5 * 2 + x * 2) = 16x + 2(x2 + 11)
(10 + 2x) = 16x + 2(x2 + 11)

Reorder the terms:
10 + 2x = 16x + 2(11 + x2)
10 + 2x = 16x + (11 * 2 + x2 * 2)
10 + 2x = 16x + (22 + 2x2)

Reorder the terms:
10 + 2x = 22 + 16x + 2x2

Solving
10 + 2x = 22 + 16x + 2x2

Solving for variable 'x'.

Reorder the terms:
10 + -22 + 2x + -16x + -2x2 = 22 + 16x + 2x2 + -22 + -16x + -2x2

Combine like terms: 10 + -22 = -12
-12 + 2x + -16x + -2x2 = 22 + 16x + 2x2 + -22 + -16x + -2x2

Combine like terms: 2x + -16x = -14x
-12 + -14x + -2x2 = 22 + 16x + 2x2 + -22 + -16x + -2x2

Reorder the terms:
-12 + -14x + -2x2 = 22 + -22 + 16x + -16x + 2x2 + -2x2

Combine like terms: 22 + -22 = 0
-12 + -14x + -2x2 = 0 + 16x + -16x + 2x2 + -2x2
-12 + -14x + -2x2 = 16x + -16x + 2x2 + -2x2

Combine like terms: 16x + -16x = 0
-12 + -14x + -2x2 = 0 + 2x2 + -2x2
-12 + -14x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-12 + -14x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(6 + 7x + x2) = 0

Factor a trinomial.
-2((6 + x)(1 + x)) = 0

Ignore the factor -2.
Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
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 = {-6, -1}