28=x^2+9x+18

Solution for 28=x^2+9x+18 equation:

Simplifying
28 = x2 + 9x + 18

Reorder the terms:
28 = 18 + 9x + x2

Solving
28 = 18 + 9x + x2

Solving for variable 'x'.

Combine like terms: 28 + -18 = 10
10 + -9x + -1x2 = 18 + 9x + x2 + -18 + -9x + -1x2

Reorder the terms:
10 + -9x + -1x2 = 18 + -18 + 9x + -9x + x2 + -1x2

Combine like terms: 18 + -18 = 0
10 + -9x + -1x2 = 0 + 9x + -9x + x2 + -1x2
10 + -9x + -1x2 = 9x + -9x + x2 + -1x2

Combine like terms: 9x + -9x = 0
10 + -9x + -1x2 = 0 + x2 + -1x2
10 + -9x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
10 + -9x + -1x2 = 0

Factor a trinomial.
(1 + -1x)(10 + x) = 0

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

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

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

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

Simplifying
x = -10
Solution
x = {1, -10}