x^2-28x-2013=0

Solution for x^2-28x-2013=0 equation:

Simplifying
x2 + -28x + -2013 = 0

Reorder the terms:
-2013 + -28x + x2 = 0

Solving
-2013 + -28x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-33 + -1x)(61 + -1x) = 0

Subproblem 1
Set the factor '(-33 + -1x)' equal to zero and attempt to solve:

Simplifying
-33 + -1x = 0

Solving
-33 + -1x = 0

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

Add '33' to each side of the equation.
-33 + 33 + -1x = 0 + 33

Combine like terms: -33 + 33 = 0
0 + -1x = 0 + 33
-1x = 0 + 33

Combine like terms: 0 + 33 = 33
-1x = 33

Divide each side by '-1'.
x = -33

Simplifying
x = -33
Subproblem 2
Set the factor '(61 + -1x)' equal to zero and attempt to solve:

Simplifying
61 + -1x = 0

Solving
61 + -1x = 0

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

Add '-61' to each side of the equation.
61 + -61 + -1x = 0 + -61

Combine like terms: 61 + -61 = 0
0 + -1x = 0 + -61
-1x = 0 + -61

Combine like terms: 0 + -61 = -61
-1x = -61

Divide each side by '-1'.
x = 61

Simplifying
x = 61
Solution
x = {-33, 61}