x(x-23)=2520

Solution for x(x-23)=2520 equation:

Simplifying
x(x + -23) = 2520

Reorder the terms:
x(-23 + x) = 2520
(-23 * x + x * x) = 2520
(-23x + x2) = 2520

Solving
-23x + x2 = 2520

Solving for variable 'x'.

Reorder the terms:
-2520 + -23x + x2 = 2520 + -2520

Combine like terms: 2520 + -2520 = 0
-2520 + -23x + x2 = 0

Factor a trinomial.
(-40 + -1x)(63 + -1x) = 0

Subproblem 1
Set the factor '(-40 + -1x)' equal to zero and attempt to solve:

Simplifying
-40 + -1x = 0

Solving
-40 + -1x = 0

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

Add '40' to each side of the equation.
-40 + 40 + -1x = 0 + 40

Combine like terms: -40 + 40 = 0
0 + -1x = 0 + 40
-1x = 0 + 40

Combine like terms: 0 + 40 = 40
-1x = 40

Divide each side by '-1'.
x = -40

Simplifying
x = -40
Subproblem 2
Set the factor '(63 + -1x)' equal to zero and attempt to solve:

Simplifying
63 + -1x = 0

Solving
63 + -1x = 0

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

Add '-63' to each side of the equation.
63 + -63 + -1x = 0 + -63

Combine like terms: 63 + -63 = 0
0 + -1x = 0 + -63
-1x = 0 + -63

Combine like terms: 0 + -63 = -63
-1x = -63

Divide each side by '-1'.
x = 63

Simplifying
x = 63
Solution
x = {-40, 63}