x^2+11x+2=28

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

Simplifying
x2 + 11x + 2 = 28

Reorder the terms:
2 + 11x + x2 = 28

Solving
2 + 11x + x2 = 28

Solving for variable 'x'.

Reorder the terms:
2 + -28 + 11x + x2 = 28 + -28

Combine like terms: 2 + -28 = -26
-26 + 11x + x2 = 28 + -28

Combine like terms: 28 + -28 = 0
-26 + 11x + x2 = 0

Factor a trinomial.
(-13 + -1x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-13 + -1x)' equal to zero and attempt to solve:

Simplifying
-13 + -1x = 0

Solving
-13 + -1x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = 0 + 13
-1x = 0 + 13

Combine like terms: 0 + 13 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-13, 2}