384=2x^2+16x+318

Solution for 384=2x^2+16x+318 equation:

Simplifying
384 = 2x2 + 16x + 318

Reorder the terms:
384 = 318 + 16x + 2x2

Solving
384 = 318 + 16x + 2x2

Solving for variable 'x'.

Combine like terms: 384 + -318 = 66
66 + -16x + -2x2 = 318 + 16x + 2x2 + -318 + -16x + -2x2

Reorder the terms:
66 + -16x + -2x2 = 318 + -318 + 16x + -16x + 2x2 + -2x2

Combine like terms: 318 + -318 = 0
66 + -16x + -2x2 = 0 + 16x + -16x + 2x2 + -2x2
66 + -16x + -2x2 = 16x + -16x + 2x2 + -2x2

Combine like terms: 16x + -16x = 0
66 + -16x + -2x2 = 0 + 2x2 + -2x2
66 + -16x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
66 + -16x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(33 + -8x + -1x2) = 0

Factor a trinomial.
2((3 + -1x)(11 + x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

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

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

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

Simplifying
x = -11
Solution
x = {3, -11}