a^2+30a-4000=0

Solution for a^2+30a-4000=0 equation:

Simplifying
a2 + 30a + -4000 = 0

Reorder the terms:
-4000 + 30a + a2 = 0

Solving
-4000 + 30a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-80 + -1a)(50 + -1a) = 0

Subproblem 1
Set the factor '(-80 + -1a)' equal to zero and attempt to solve:

Simplifying
-80 + -1a = 0

Solving
-80 + -1a = 0

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

Add '80' to each side of the equation.
-80 + 80 + -1a = 0 + 80

Combine like terms: -80 + 80 = 0
0 + -1a = 0 + 80
-1a = 0 + 80

Combine like terms: 0 + 80 = 80
-1a = 80

Divide each side by '-1'.
a = -80

Simplifying
a = -80
Subproblem 2
Set the factor '(50 + -1a)' equal to zero and attempt to solve:

Simplifying
50 + -1a = 0

Solving
50 + -1a = 0

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

Add '-50' to each side of the equation.
50 + -50 + -1a = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -1a = 0 + -50
-1a = 0 + -50

Combine like terms: 0 + -50 = -50
-1a = -50

Divide each side by '-1'.
a = 50

Simplifying
a = 50
Solution
a = {-80, 50}