x^2-5x-2750=0

Solution for x^2-5x-2750=0 equation:

Simplifying
x2 + -5x + -2750 = 0

Reorder the terms:
-2750 + -5x + x2 = 0

Solving
-2750 + -5x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-50 + -1x)(55 + -1x) = 0

Subproblem 1
Set the factor '(-50 + -1x)' equal to zero and attempt to solve:

Simplifying
-50 + -1x = 0

Solving
-50 + -1x = 0

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

Add '50' to each side of the equation.
-50 + 50 + -1x = 0 + 50

Combine like terms: -50 + 50 = 0
0 + -1x = 0 + 50
-1x = 0 + 50

Combine like terms: 0 + 50 = 50
-1x = 50

Divide each side by '-1'.
x = -50

Simplifying
x = -50
Subproblem 2
Set the factor '(55 + -1x)' equal to zero and attempt to solve:

Simplifying
55 + -1x = 0

Solving
55 + -1x = 0

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

Add '-55' to each side of the equation.
55 + -55 + -1x = 0 + -55

Combine like terms: 55 + -55 = 0
0 + -1x = 0 + -55
-1x = 0 + -55

Combine like terms: 0 + -55 = -55
-1x = -55

Divide each side by '-1'.
x = 55

Simplifying
x = 55
Solution
x = {-50, 55}