x^2+52x-549=0

Solution for x^2+52x-549=0 equation:

Simplifying
x2 + 52x + -549 = 0

Reorder the terms:
-549 + 52x + x2 = 0

Solving
-549 + 52x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-61 + -1x)(9 + -1x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 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 + -1x = 0 + -9

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

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

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-61, 9}