8800=(x+30)(x)

Solution for 8800=(x+30)(x) equation:

Simplifying
8800 = (x + 30)(x)

Reorder the terms:
8800 = (30 + x)(x)

Reorder the terms for easier multiplication:
8800 = x(30 + x)
8800 = (30 * x + x * x)
8800 = (30x + x2)

Solving
8800 = 30x + x2

Solving for variable 'x'.

Reorder the terms:
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.
(80 + -1x)(110 + x) = 0

Subproblem 1
Set the factor '(80 + -1x)' equal to zero and attempt to solve:

Simplifying
80 + -1x = 0

Solving
80 + -1x = 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 + -1x = 0 + -80

Combine like terms: 80 + -80 = 0
0 + -1x = 0 + -80
-1x = 0 + -80

Combine like terms: 0 + -80 = -80
-1x = -80

Divide each side by '-1'.
x = 80

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

Simplifying
110 + x = 0

Solving
110 + x = 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 + x = 0 + -110

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

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

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