9350=x^2-13x+80

Solution for 9350=x^2-13x+80 equation:

Simplifying
9350 = x2 + -13x + 80

Reorder the terms:
9350 = 80 + -13x + x2

Solving
9350 = 80 + -13x + x2

Solving for variable 'x'.

Combine like terms: 9350 + -80 = 9270
9270 + 13x + -1x2 = 80 + -13x + x2 + -80 + 13x + -1x2

Reorder the terms:
9270 + 13x + -1x2 = 80 + -80 + -13x + 13x + x2 + -1x2

Combine like terms: 80 + -80 = 0
9270 + 13x + -1x2 = 0 + -13x + 13x + x2 + -1x2
9270 + 13x + -1x2 = -13x + 13x + x2 + -1x2

Combine like terms: -13x + 13x = 0
9270 + 13x + -1x2 = 0 + x2 + -1x2
9270 + 13x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9270 + 13x + -1x2 = 0

Factor a trinomial.
(103 + -1x)(90 + x) = 0

Subproblem 1
Set the factor '(103 + -1x)' equal to zero and attempt to solve:

Simplifying
103 + -1x = 0

Solving
103 + -1x = 0

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

Add '-103' to each side of the equation.
103 + -103 + -1x = 0 + -103

Combine like terms: 103 + -103 = 0
0 + -1x = 0 + -103
-1x = 0 + -103

Combine like terms: 0 + -103 = -103
-1x = -103

Divide each side by '-1'.
x = 103

Simplifying
x = 103
Subproblem 2
Set the factor '(90 + x)' equal to zero and attempt to solve:

Simplifying
90 + x = 0

Solving
90 + x = 0

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

Add '-90' to each side of the equation.
90 + -90 + x = 0 + -90

Combine like terms: 90 + -90 = 0
0 + x = 0 + -90
x = 0 + -90

Combine like terms: 0 + -90 = -90
x = -90

Simplifying
x = -90
Solution
x = {103, -90}