x^2+11x+28=10

Solution for x^2+11x+28=10 equation:

Simplifying
x2 + 11x + 28 = 10

Reorder the terms:
28 + 11x + x2 = 10

Solving
28 + 11x + x2 = 10

Solving for variable 'x'.

Reorder the terms:
28 + -10 + 11x + x2 = 10 + -10

Combine like terms: 28 + -10 = 18
18 + 11x + x2 = 10 + -10

Combine like terms: 10 + -10 = 0
18 + 11x + x2 = 0

Factor a trinomial.
(9 + x)(2 + 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 '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {-9, -2}