20x*(x+22)=7260

Solution for 20x*(x+22)=7260 equation:

Simplifying
20x(x + 22) = 7260

Reorder the terms:
20x(22 + x) = 7260
(22 * 20x + x * 20x) = 7260
(440x + 20x2) = 7260

Solving
440x + 20x2 = 7260

Solving for variable 'x'.

Reorder the terms:
-7260 + 440x + 20x2 = 7260 + -7260

Combine like terms: 7260 + -7260 = 0
-7260 + 440x + 20x2 = 0

Factor out the Greatest Common Factor (GCF), '20'.
20(-363 + 22x + x2) = 0

Factor a trinomial.
20((-33 + -1x)(11 + -1x)) = 0

Ignore the factor 20.
Subproblem 1
Set the factor '(-33 + -1x)' equal to zero and attempt to solve:

Simplifying
-33 + -1x = 0

Solving
-33 + -1x = 0

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

Add '33' to each side of the equation.
-33 + 33 + -1x = 0 + 33

Combine like terms: -33 + 33 = 0
0 + -1x = 0 + 33
-1x = 0 + 33

Combine like terms: 0 + 33 = 33
-1x = 33

Divide each side by '-1'.
x = -33

Simplifying
x = -33
Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 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 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-33, 11}