94=2x^2+20x+16

Solution for 94=2x^2+20x+16 equation:

Simplifying
94 = 2x2 + 20x + 16

Reorder the terms:
94 = 16 + 20x + 2x2

Solving
94 = 16 + 20x + 2x2

Solving for variable 'x'.

Combine like terms: 94 + -16 = 78
78 + -20x + -2x2 = 16 + 20x + 2x2 + -16 + -20x + -2x2

Reorder the terms:
78 + -20x + -2x2 = 16 + -16 + 20x + -20x + 2x2 + -2x2

Combine like terms: 16 + -16 = 0
78 + -20x + -2x2 = 0 + 20x + -20x + 2x2 + -2x2
78 + -20x + -2x2 = 20x + -20x + 2x2 + -2x2

Combine like terms: 20x + -20x = 0
78 + -20x + -2x2 = 0 + 2x2 + -2x2
78 + -20x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
78 + -20x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(39 + -10x + -1x2) = 0

Factor a trinomial.
2((3 + -1x)(13 + 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 '(13 + x)' equal to zero and attempt to solve:

Simplifying
13 + x = 0

Solving
13 + x = 0

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

Add '-13' to each side of the equation.
13 + -13 + x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + x = 0 + -13
x = 0 + -13

Combine like terms: 0 + -13 = -13
x = -13

Simplifying
x = -13
Solution
x = {3, -13}