x*(x+9)=1170

Solution for x*(x+9)=1170 equation:

Simplifying
x(x + 9) = 1170

Reorder the terms:
x(9 + x) = 1170
(9 * x + x * x) = 1170
(9x + x2) = 1170

Solving
9x + x2 = 1170

Solving for variable 'x'.

Reorder the terms:
-1170 + 9x + x2 = 1170 + -1170

Combine like terms: 1170 + -1170 = 0
-1170 + 9x + x2 = 0

Factor a trinomial.
(-39 + -1x)(30 + -1x) = 0

Subproblem 1
Set the factor '(-39 + -1x)' equal to zero and attempt to solve:

Simplifying
-39 + -1x = 0

Solving
-39 + -1x = 0

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

Add '39' to each side of the equation.
-39 + 39 + -1x = 0 + 39

Combine like terms: -39 + 39 = 0
0 + -1x = 0 + 39
-1x = 0 + 39

Combine like terms: 0 + 39 = 39
-1x = 39

Divide each side by '-1'.
x = -39

Simplifying
x = -39
Subproblem 2
Set the factor '(30 + -1x)' equal to zero and attempt to solve:

Simplifying
30 + -1x = 0

Solving
30 + -1x = 0

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

Add '-30' to each side of the equation.
30 + -30 + -1x = 0 + -30

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

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

Divide each side by '-1'.
x = 30

Simplifying
x = 30
Solution
x = {-39, 30}