22x^2+x-5=0

Solution for 22x^2+x-5=0 equation:

Simplifying
22x2 + x + -5 = 0

Reorder the terms:
-5 + x + 22x2 = 0

Solving
-5 + x + 22x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -2x)(5 + -11x) = 0

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

Simplifying
-1 + -2x = 0

Solving
-1 + -2x = 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 + -2x = 0 + 1

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

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

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5
Subproblem 2
Set the factor '(5 + -11x)' equal to zero and attempt to solve:

Simplifying
5 + -11x = 0

Solving
5 + -11x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -11x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -11x = 0 + -5
-11x = 0 + -5

Combine like terms: 0 + -5 = -5
-11x = -5

Divide each side by '-11'.
x = 0.4545454545

Simplifying
x = 0.4545454545
Solution
x = {-0.5, 0.4545454545}