-2X^2+110X-900=0

Solution for -2X^2+110X-900=0 equation:

Simplifying
-2X2 + 110X + -900 = 0

Reorder the terms:
-900 + 110X + -2X2 = 0

Solving
-900 + 110X + -2X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-450 + 55X + -1X2) = 0

Factor a trinomial.
2((-45 + X)(10 + -1X)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-45 + X)' equal to zero and attempt to solve:

Simplifying
-45 + X = 0

Solving
-45 + X = 0

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

Add '45' to each side of the equation.
-45 + 45 + X = 0 + 45

Combine like terms: -45 + 45 = 0
0 + X = 0 + 45
X = 0 + 45

Combine like terms: 0 + 45 = 45
X = 45

Simplifying
X = 45
Subproblem 2
Set the factor '(10 + -1X)' equal to zero and attempt to solve:

Simplifying
10 + -1X = 0

Solving
10 + -1X = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1X = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1X = 0 + -10
-1X = 0 + -10

Combine like terms: 0 + -10 = -10
-1X = -10

Divide each side by '-1'.
X = 10

Simplifying
X = 10
Solution
X = {45, 10}