a^2+20a-576=0

Solution for a^2+20a-576=0 equation:

Simplifying
a2 + 20a + -576 = 0

Reorder the terms:
-576 + 20a + a2 = 0

Solving
-576 + 20a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-36 + -1a)(16 + -1a) = 0

Subproblem 1
Set the factor '(-36 + -1a)' equal to zero and attempt to solve:

Simplifying
-36 + -1a = 0

Solving
-36 + -1a = 0

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

Add '36' to each side of the equation.
-36 + 36 + -1a = 0 + 36

Combine like terms: -36 + 36 = 0
0 + -1a = 0 + 36
-1a = 0 + 36

Combine like terms: 0 + 36 = 36
-1a = 36

Divide each side by '-1'.
a = -36

Simplifying
a = -36
Subproblem 2
Set the factor '(16 + -1a)' equal to zero and attempt to solve:

Simplifying
16 + -1a = 0

Solving
16 + -1a = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1a = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1a = 0 + -16
-1a = 0 + -16

Combine like terms: 0 + -16 = -16
-1a = -16

Divide each side by '-1'.
a = 16

Simplifying
a = 16
Solution
a = {-36, 16}