5X^2+10X-2200=0

Solution for 5X^2+10X-2200=0 equation:

Simplifying
5X2 + 10X + -2200 = 0

Reorder the terms:
-2200 + 10X + 5X2 = 0

Solving
-2200 + 10X + 5X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-440 + 2X + X2) = 0

Factor a trinomial.
5((-22 + -1X)(20 + -1X)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-22 + -1X)' equal to zero and attempt to solve:

Simplifying
-22 + -1X = 0

Solving
-22 + -1X = 0

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

Add '22' to each side of the equation.
-22 + 22 + -1X = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -1X = 0 + 22
-1X = 0 + 22

Combine like terms: 0 + 22 = 22
-1X = 22

Divide each side by '-1'.
X = -22

Simplifying
X = -22
Subproblem 2
Set the factor '(20 + -1X)' equal to zero and attempt to solve:

Simplifying
20 + -1X = 0

Solving
20 + -1X = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1X = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1X = 0 + -20
-1X = 0 + -20

Combine like terms: 0 + -20 = -20
-1X = -20

Divide each side by '-1'.
X = 20

Simplifying
X = 20
Solution
X = {-22, 20}