-840+8x+22x^2=0

Solution for -840+8x+22x^2=0 equation:

Simplifying
-840 + 8x + 22x2 = 0

Solving
-840 + 8x + 22x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-420 + 4x + 11x2) = 0

Factor a trinomial.
2((-70 + -11x)(6 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-70 + -11x)' equal to zero and attempt to solve:

Simplifying
-70 + -11x = 0

Solving
-70 + -11x = 0

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

Add '70' to each side of the equation.
-70 + 70 + -11x = 0 + 70

Combine like terms: -70 + 70 = 0
0 + -11x = 0 + 70
-11x = 0 + 70

Combine like terms: 0 + 70 = 70
-11x = 70

Divide each side by '-11'.
x = -6.363636364

Simplifying
x = -6.363636364
Subproblem 2
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
Solution
x = {-6.363636364, 6}