8830=x^2-30x+30

Solution for 8830=x^2-30x+30 equation:

Simplifying
8830 = x2 + -30x + 30

Reorder the terms:
8830 = 30 + -30x + x2

Solving
8830 = 30 + -30x + x2

Solving for variable 'x'.

Combine like terms: 8830 + -30 = 8800
8800 + 30x + -1x2 = 30 + -30x + x2 + -30 + 30x + -1x2

Reorder the terms:
8800 + 30x + -1x2 = 30 + -30 + -30x + 30x + x2 + -1x2

Combine like terms: 30 + -30 = 0
8800 + 30x + -1x2 = 0 + -30x + 30x + x2 + -1x2
8800 + 30x + -1x2 = -30x + 30x + x2 + -1x2

Combine like terms: -30x + 30x = 0
8800 + 30x + -1x2 = 0 + x2 + -1x2
8800 + 30x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8800 + 30x + -1x2 = 0

Factor a trinomial.
(110 + -1x)(80 + x) = 0

Subproblem 1
Set the factor '(110 + -1x)' equal to zero and attempt to solve:

Simplifying
110 + -1x = 0

Solving
110 + -1x = 0

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

Add '-110' to each side of the equation.
110 + -110 + -1x = 0 + -110

Combine like terms: 110 + -110 = 0
0 + -1x = 0 + -110
-1x = 0 + -110

Combine like terms: 0 + -110 = -110
-1x = -110

Divide each side by '-1'.
x = 110

Simplifying
x = 110
Subproblem 2
Set the factor '(80 + x)' equal to zero and attempt to solve:

Simplifying
80 + x = 0

Solving
80 + x = 0

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

Add '-80' to each side of the equation.
80 + -80 + x = 0 + -80

Combine like terms: 80 + -80 = 0
0 + x = 0 + -80
x = 0 + -80

Combine like terms: 0 + -80 = -80
x = -80

Simplifying
x = -80
Solution
x = {110, -80}