(x-23)(x+2)=

Solution for (x-23)(x+2)= equation:

Simplifying
(x + -23)(x + 2) = 0

Reorder the terms:
(-23 + x)(x + 2) = 0

Reorder the terms:
(-23 + x)(2 + x) = 0

Multiply (-23 + x) * (2 + x)
(-23(2 + x) + x(2 + x)) = 0
((2 * -23 + x * -23) + x(2 + x)) = 0
((-46 + -23x) + x(2 + x)) = 0
(-46 + -23x + (2 * x + x * x)) = 0
(-46 + -23x + (2x + x2)) = 0

Combine like terms: -23x + 2x = -21x
(-46 + -21x + x2) = 0

Solving
-46 + -21x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -1x)(23 + -1x) = 0

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 '(23 + -1x)' equal to zero and attempt to solve:

Simplifying
23 + -1x = 0

Solving
23 + -1x = 0

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

Add '-23' to each side of the equation.
23 + -23 + -1x = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -1x = 0 + -23
-1x = 0 + -23

Combine like terms: 0 + -23 = -23
-1x = -23

Divide each side by '-1'.
x = 23

Simplifying
x = 23
Solution
x = {-2, 23}