2x^2+10x-5500=0

Solution for 2x^2+10x-5500=0 equation:

Simplifying
2x2 + 10x + -5500 = 0

Reorder the terms:
-5500 + 10x + 2x2 = 0

Solving
-5500 + 10x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-2750 + 5x + x2) = 0

Factor a trinomial.
2((-55 + -1x)(50 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
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
Solution
x = {-55, 50}