14x^2+17x-22=0

Solution for 14x^2+17x-22=0 equation:

Simplifying
14x2 + 17x + -22 = 0

Reorder the terms:
-22 + 17x + 14x2 = 0

Solving
-22 + 17x + 14x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -1x)(11 + -14x) = 0

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2
Subproblem 2
Set the factor '(11 + -14x)' equal to zero and attempt to solve:

Simplifying
11 + -14x = 0

Solving
11 + -14x = 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 + -14x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -14x = 0 + -11
-14x = 0 + -11

Combine like terms: 0 + -11 = -11
-14x = -11

Divide each side by '-14'.
x = 0.7857142857

Simplifying
x = 0.7857142857
Solution
x = {-2, 0.7857142857}