a^2-10a-2000=0

Solution for a^2-10a-2000=0 equation:

Simplifying
a2 + -10a + -2000 = 0

Reorder the terms:
-2000 + -10a + a2 = 0

Solving
-2000 + -10a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-40 + -1a)(50 + -1a) = 0

Subproblem 1
Set the factor '(-40 + -1a)' equal to zero and attempt to solve:

Simplifying
-40 + -1a = 0

Solving
-40 + -1a = 0

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

Add '40' to each side of the equation.
-40 + 40 + -1a = 0 + 40

Combine like terms: -40 + 40 = 0
0 + -1a = 0 + 40
-1a = 0 + 40

Combine like terms: 0 + 40 = 40
-1a = 40

Divide each side by '-1'.
a = -40

Simplifying
a = -40
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 = {-40, 50}