23=-x^2+24x

Solution for 23=-x^2+24x equation:

Simplifying
23 = -1x2 + 24x

Reorder the terms:
23 = 24x + -1x2

Solving
23 = 24x + -1x2

Solving for variable 'x'.

Reorder the terms:
23 + -24x + x2 = 24x + -24x + -1x2 + x2

Combine like terms: 24x + -24x = 0
23 + -24x + x2 = 0 + -1x2 + x2
23 + -24x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
23 + -24x + x2 = 0

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

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
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 = {1, 23}