22x^2+4x=210

Solution for 22x^2+4x=210 equation:

Simplifying
22x2 + 4x = 210

Reorder the terms:
4x + 22x2 = 210

Solving
4x + 22x2 = 210

Solving for variable 'x'.

Reorder the terms:
-210 + 4x + 22x2 = 210 + -210

Combine like terms: 210 + -210 = 0
-210 + 4x + 22x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-105 + 2x + 11x2) = 0

Factor a trinomial.
2((-35 + -11x)(3 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-35 + -11x)' equal to zero and attempt to solve:

Simplifying
-35 + -11x = 0

Solving
-35 + -11x = 0

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

Add '35' to each side of the equation.
-35 + 35 + -11x = 0 + 35

Combine like terms: -35 + 35 = 0
0 + -11x = 0 + 35
-11x = 0 + 35

Combine like terms: 0 + 35 = 35
-11x = 35

Divide each side by '-11'.
x = -3.181818182

Simplifying
x = -3.181818182
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-3.181818182, 3}