44x-x^2=475

Solution for 44x-x^2=475 equation:

Simplifying
44x + -1x2 = 475

Solving
44x + -1x2 = 475

Solving for variable 'x'.

Reorder the terms:
-475 + 44x + -1x2 = 475 + -475

Combine like terms: 475 + -475 = 0
-475 + 44x + -1x2 = 0

Factor a trinomial.
(-25 + x)(19 + -1x) = 0

Subproblem 1
Set the factor '(-25 + x)' equal to zero and attempt to solve:

Simplifying
-25 + x = 0

Solving
-25 + x = 0

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

Add '25' to each side of the equation.
-25 + 25 + x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + x = 0 + 25
x = 0 + 25

Combine like terms: 0 + 25 = 25
x = 25

Simplifying
x = 25
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 = {25, 19}