10a^2-2a-44=

Solution for 10a^2-2a-44= equation:

Simplifying
10a2 + -2a + -44 = 0

Reorder the terms:
-44 + -2a + 10a2 = 0

Solving
-44 + -2a + 10a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-22 + -1a + 5a2) = 0

Factor a trinomial.
2((-2 + -1a)(11 + -5a)) = 0

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

Simplifying
-2 + -1a = 0

Solving
-2 + -1a = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1a = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1a = 0 + 2
-1a = 0 + 2

Combine like terms: 0 + 2 = 2
-1a = 2

Divide each side by '-1'.
a = -2

Simplifying
a = -2
Subproblem 2
Set the factor '(11 + -5a)' equal to zero and attempt to solve:

Simplifying
11 + -5a = 0

Solving
11 + -5a = 0

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

Add '-11' to each side of the equation.
11 + -11 + -5a = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -5a = 0 + -11
-5a = 0 + -11

Combine like terms: 0 + -11 = -11
-5a = -11

Divide each side by '-5'.
a = 2.2

Simplifying
a = 2.2
Solution
a = {-2, 2.2}