0=50x-x^2-525

Solution for 0=50x-x^2-525 equation:

Simplifying
0 = 50x + -1x2 + -525

Reorder the terms:
0 = -525 + 50x + -1x2

Solving
0 = -525 + 50x + -1x2

Solving for variable 'x'.

Combine like terms: 0 + 525 = 525
525 + -50x + x2 = -525 + 50x + -1x2 + 525 + -50x + x2

Reorder the terms:
525 + -50x + x2 = -525 + 525 + 50x + -50x + -1x2 + x2

Combine like terms: -525 + 525 = 0
525 + -50x + x2 = 0 + 50x + -50x + -1x2 + x2
525 + -50x + x2 = 50x + -50x + -1x2 + x2

Combine like terms: 50x + -50x = 0
525 + -50x + x2 = 0 + -1x2 + x2
525 + -50x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
525 + -50x + x2 = 0

Factor a trinomial.
(15 + -1x)(35 + -1x) = 0

Subproblem 1
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Subproblem 2
Set the factor '(35 + -1x)' equal to zero and attempt to solve:

Simplifying
35 + -1x = 0

Solving
35 + -1x = 0

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

Add '-35' to each side of the equation.
35 + -35 + -1x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -1x = 0 + -35
-1x = 0 + -35

Combine like terms: 0 + -35 = -35
-1x = -35

Divide each side by '-1'.
x = 35

Simplifying
x = 35
Solution
x = {15, 35}