95=24x-x^2

Solution for 95=24x-x^2 equation:

Simplifying
95 = 24x + -1x2

Solving
95 = 24x + -1x2

Solving for variable 'x'.

Reorder the terms:
95 + -24x + x2 = 24x + -24x + -1x2 + x2

Combine like terms: 24x + -24x = 0
95 + -24x + x2 = 0 + -1x2 + x2
95 + -24x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
95 + -24x + x2 = 0

Factor a trinomial.
(5 + -1x)(19 + -1x) = 0

Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Subproblem 2
Set the factor '(19 + -1x)' equal to zero and attempt to solve:

Simplifying
19 + -1x = 0

Solving
19 + -1x = 0

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

Add '-19' to each side of the equation.
19 + -19 + -1x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -1x = 0 + -19
-1x = 0 + -19

Combine like terms: 0 + -19 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19
Solution
x = {5, 19}