924=x(x-20)

Solution for 924=x(x-20) equation:

Simplifying
924 = x(x + -20)

Reorder the terms:
924 = x(-20 + x)
924 = (-20 * x + x * x)
924 = (-20x + x2)

Solving
924 = -20x + x2

Solving for variable 'x'.

Reorder the terms:
924 + 20x + -1x2 = -20x + 20x + x2 + -1x2

Combine like terms: -20x + 20x = 0
924 + 20x + -1x2 = 0 + x2 + -1x2
924 + 20x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
924 + 20x + -1x2 = 0

Factor a trinomial.
(42 + -1x)(22 + x) = 0

Subproblem 1
Set the factor '(42 + -1x)' equal to zero and attempt to solve:

Simplifying
42 + -1x = 0

Solving
42 + -1x = 0

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

Add '-42' to each side of the equation.
42 + -42 + -1x = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -1x = 0 + -42
-1x = 0 + -42

Combine like terms: 0 + -42 = -42
-1x = -42

Divide each side by '-1'.
x = 42

Simplifying
x = 42
Subproblem 2
Set the factor '(22 + x)' equal to zero and attempt to solve:

Simplifying
22 + x = 0

Solving
22 + x = 0

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

Add '-22' to each side of the equation.
22 + -22 + x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + x = 0 + -22
x = 0 + -22

Combine like terms: 0 + -22 = -22
x = -22

Simplifying
x = -22
Solution
x = {42, -22}