9250=x^2-8x+50

Solution for 9250=x^2-8x+50 equation:

Simplifying
9250 = x2 + -8x + 50

Reorder the terms:
9250 = 50 + -8x + x2

Solving
9250 = 50 + -8x + x2

Solving for variable 'x'.

Combine like terms: 9250 + -50 = 9200
9200 + 8x + -1x2 = 50 + -8x + x2 + -50 + 8x + -1x2

Reorder the terms:
9200 + 8x + -1x2 = 50 + -50 + -8x + 8x + x2 + -1x2

Combine like terms: 50 + -50 = 0
9200 + 8x + -1x2 = 0 + -8x + 8x + x2 + -1x2
9200 + 8x + -1x2 = -8x + 8x + x2 + -1x2

Combine like terms: -8x + 8x = 0
9200 + 8x + -1x2 = 0 + x2 + -1x2
9200 + 8x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9200 + 8x + -1x2 = 0

Factor a trinomial.
(100 + -1x)(92 + x) = 0

Subproblem 1
Set the factor '(100 + -1x)' equal to zero and attempt to solve:

Simplifying
100 + -1x = 0

Solving
100 + -1x = 0

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

Add '-100' to each side of the equation.
100 + -100 + -1x = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -1x = 0 + -100
-1x = 0 + -100

Combine like terms: 0 + -100 = -100
-1x = -100

Divide each side by '-1'.
x = 100

Simplifying
x = 100
Subproblem 2
Set the factor '(92 + x)' equal to zero and attempt to solve:

Simplifying
92 + x = 0

Solving
92 + x = 0

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

Add '-92' to each side of the equation.
92 + -92 + x = 0 + -92

Combine like terms: 92 + -92 = 0
0 + x = 0 + -92
x = 0 + -92

Combine like terms: 0 + -92 = -92
x = -92

Simplifying
x = -92
Solution
x = {100, -92}