140=22x^2+26x

Solution for 140=22x^2+26x equation:

Simplifying
140 = 22x2 + 26x

Reorder the terms:
140 = 26x + 22x2

Solving
140 = 26x + 22x2

Solving for variable 'x'.

Reorder the terms:
140 + -26x + -22x2 = 26x + -26x + 22x2 + -22x2

Combine like terms: 26x + -26x = 0
140 + -26x + -22x2 = 0 + 22x2 + -22x2
140 + -26x + -22x2 = 22x2 + -22x2

Combine like terms: 22x2 + -22x2 = 0
140 + -26x + -22x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(70 + -13x + -11x2) = 0

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

Ignore the factor 2.
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 '(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
Solution
x = {2, -3.181818182}