167x^2+56x+11=122

Solution for 167x^2+56x+11=122 equation:

Simplifying
167x2 + 56x + 11 = 122

Reorder the terms:
11 + 56x + 167x2 = 122

Solving
11 + 56x + 167x2 = 122

Solving for variable 'x'.

Reorder the terms:
11 + -122 + 56x + 167x2 = 122 + -122

Combine like terms: 11 + -122 = -111
-111 + 56x + 167x2 = 122 + -122

Combine like terms: 122 + -122 = 0
-111 + 56x + 167x2 = 0

Factor a trinomial.
(-1 + -1x)(111 + -167x) = 0

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

Simplifying
-1 + -1x = 0

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

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

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

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

Simplifying
x = -1
Subproblem 2
Set the factor '(111 + -167x)' equal to zero and attempt to solve:

Simplifying
111 + -167x = 0

Solving
111 + -167x = 0

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

Add '-111' to each side of the equation.
111 + -111 + -167x = 0 + -111

Combine like terms: 111 + -111 = 0
0 + -167x = 0 + -111
-167x = 0 + -111

Combine like terms: 0 + -111 = -111
-167x = -111

Divide each side by '-167'.
x = 0.6646706587

Simplifying
x = 0.6646706587
Solution
x = {-1, 0.6646706587}