x(x+9)=11110

Solution for x(x+9)=11110 equation:

Simplifying
x(x + 9) = 11110

Reorder the terms:
x(9 + x) = 11110
(9 * x + x * x) = 11110
(9x + x2) = 11110

Solving
9x + x2 = 11110

Solving for variable 'x'.

Reorder the terms:
-11110 + 9x + x2 = 11110 + -11110

Combine like terms: 11110 + -11110 = 0
-11110 + 9x + x2 = 0

Factor a trinomial.
(-110 + -1x)(101 + -1x) = 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 '(101 + -1x)' equal to zero and attempt to solve:

Simplifying
101 + -1x = 0

Solving
101 + -1x = 0

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

Add '-101' to each side of the equation.
101 + -101 + -1x = 0 + -101

Combine like terms: 101 + -101 = 0
0 + -1x = 0 + -101
-1x = 0 + -101

Combine like terms: 0 + -101 = -101
-1x = -101

Divide each side by '-1'.
x = 101

Simplifying
x = 101
Solution
x = {-110, 101}