0=20X^2+18X-44

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Solution for 0=20X^2+18X-44 equation: 


Simplifying
0 = 20X2 + 18X + -44

Reorder the terms:
0 = -44 + 18X + 20X2

Solving
0 = -44 + 18X + 20X2

Solving for variable 'X'.

Combine like terms: 0 + 44 = 44
44 + -18X + -20X2 = -44 + 18X + 20X2 + 44 + -18X + -20X2

Reorder the terms:
44 + -18X + -20X2 = -44 + 44 + 18X + -18X + 20X2 + -20X2

Combine like terms: -44 + 44 = 0
44 + -18X + -20X2 = 0 + 18X + -18X + 20X2 + -20X2
44 + -18X + -20X2 = 18X + -18X + 20X2 + -20X2

Combine like terms: 18X + -18X = 0
44 + -18X + -20X2 = 0 + 20X2 + -20X2
44 + -18X + -20X2 = 20X2 + -20X2

Combine like terms: 20X2 + -20X2 = 0
44 + -18X + -20X2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(22 + -9X + -10X2) = 0

Factor a trinomial.
2((11 + -10X)(2 + X)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(11 + -10X)' equal to zero and attempt to solve:

Simplifying
11 + -10X = 0

Solving
11 + -10X = 0

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

Add '-11' to each side of the equation.
11 + -11 + -10X = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -10X = 0 + -11
-10X = 0 + -11

Combine like terms: 0 + -11 = -11
-10X = -11

Divide each side by '-10'.
X = 1.1

Simplifying
X = 1.1

Subproblem 2
Set the factor '(2 + X)' equal to zero and attempt to solve:

Simplifying
2 + X = 0

Solving
2 + X = 0

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

Add '-2' to each side of the equation.
2 + -2 + X = 0 + -2

Combine like terms: 2 + -2 = 0
0 + X = 0 + -2
X = 0 + -2

Combine like terms: 0 + -2 = -2
X = -2

Simplifying
X = -2
Solution
X = {1.1, -2}

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