X^2+X-5550=0

Solution for X^2+X-5550=0 equation:

Simplifying
X2 + X + -5550 = 0

Reorder the terms:
-5550 + X + X2 = 0

Solving
-5550 + X + X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-75 + -1X)(74 + -1X) = 0

Subproblem 1
Set the factor '(-75 + -1X)' equal to zero and attempt to solve:

Simplifying
-75 + -1X = 0

Solving
-75 + -1X = 0

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

Add '75' to each side of the equation.
-75 + 75 + -1X = 0 + 75

Combine like terms: -75 + 75 = 0
0 + -1X = 0 + 75
-1X = 0 + 75

Combine like terms: 0 + 75 = 75
-1X = 75

Divide each side by '-1'.
X = -75

Simplifying
X = -75
Subproblem 2
Set the factor '(74 + -1X)' equal to zero and attempt to solve:

Simplifying
74 + -1X = 0

Solving
74 + -1X = 0

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

Add '-74' to each side of the equation.
74 + -74 + -1X = 0 + -74

Combine like terms: 74 + -74 = 0
0 + -1X = 0 + -74
-1X = 0 + -74

Combine like terms: 0 + -74 = -74
-1X = -74

Divide each side by '-1'.
X = 74

Simplifying
X = 74
Solution
X = {-75, 74}