176=2x^2+14x+20

Solution for 176=2x^2+14x+20 equation:

Simplifying
176 = 2x2 + 14x + 20

Reorder the terms:
176 = 20 + 14x + 2x2

Solving
176 = 20 + 14x + 2x2

Solving for variable 'x'.

Combine like terms: 176 + -20 = 156
156 + -14x + -2x2 = 20 + 14x + 2x2 + -20 + -14x + -2x2

Reorder the terms:
156 + -14x + -2x2 = 20 + -20 + 14x + -14x + 2x2 + -2x2

Combine like terms: 20 + -20 = 0
156 + -14x + -2x2 = 0 + 14x + -14x + 2x2 + -2x2
156 + -14x + -2x2 = 14x + -14x + 2x2 + -2x2

Combine like terms: 14x + -14x = 0
156 + -14x + -2x2 = 0 + 2x2 + -2x2
156 + -14x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
156 + -14x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(78 + -7x + -1x2) = 0

Factor a trinomial.
2((6 + -1x)(13 + x)) = 0

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

Simplifying
6 + -1x = 0

Solving
6 + -1x = 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 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
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 = {6, -13}