a^2+20a-44=0

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

Simplifying
a2 + 20a + -44 = 0

Reorder the terms:
-44 + 20a + a2 = 0

Solving
-44 + 20a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-22 + -1a)(2 + -1a) = 0

Subproblem 1
Set the factor '(-22 + -1a)' equal to zero and attempt to solve:

Simplifying
-22 + -1a = 0

Solving
-22 + -1a = 0

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

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

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

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

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

Simplifying
a = -22
Subproblem 2
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
Solution
a = {-22, 2}