x(x+10)=-9

Solution for x(x+10)=-9 equation:

Simplifying
x(x + 10) = -9

Reorder the terms:
x(10 + x) = -9
(10 * x + x * x) = -9
(10x + x2) = -9

Solving
10x + x2 = -9

Solving for variable 'x'.

Reorder the terms:
9 + 10x + x2 = -9 + 9

Combine like terms: -9 + 9 = 0
9 + 10x + x2 = 0

Factor a trinomial.
(9 + x)(1 + x) = 0

Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 0

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

Add '-9' to each side of the equation.
9 + -9 + x = 0 + -9

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

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

Simplifying
x = -9
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 = {-9, -1}