500=x^2-14x+485

Solution for 500=x^2-14x+485 equation:

Simplifying
500 = x2 + -14x + 485

Reorder the terms:
500 = 485 + -14x + x2

Solving
500 = 485 + -14x + x2

Solving for variable 'x'.

Combine like terms: 500 + -485 = 15
15 + 14x + -1x2 = 485 + -14x + x2 + -485 + 14x + -1x2

Reorder the terms:
15 + 14x + -1x2 = 485 + -485 + -14x + 14x + x2 + -1x2

Combine like terms: 485 + -485 = 0
15 + 14x + -1x2 = 0 + -14x + 14x + x2 + -1x2
15 + 14x + -1x2 = -14x + 14x + x2 + -1x2

Combine like terms: -14x + 14x = 0
15 + 14x + -1x2 = 0 + x2 + -1x2
15 + 14x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
15 + 14x + -1x2 = 0

Factor a trinomial.
(15 + -1x)(1 + x) = 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 '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

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

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

Simplifying
x = -1
Solution
x = {15, -1}