A^2+11A-840=0

Solution for A^2+11A-840=0 equation:

Simplifying
A2 + 11A + -840 = 0

Reorder the terms:
-840 + 11A + A2 = 0

Solving
-840 + 11A + A2 = 0

Solving for variable 'A'.

Factor a trinomial.
(-35 + -1A)(24 + -1A) = 0

Subproblem 1
Set the factor '(-35 + -1A)' equal to zero and attempt to solve:

Simplifying
-35 + -1A = 0

Solving
-35 + -1A = 0

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

Add '35' to each side of the equation.
-35 + 35 + -1A = 0 + 35

Combine like terms: -35 + 35 = 0
0 + -1A = 0 + 35
-1A = 0 + 35

Combine like terms: 0 + 35 = 35
-1A = 35

Divide each side by '-1'.
A = -35

Simplifying
A = -35
Subproblem 2
Set the factor '(24 + -1A)' equal to zero and attempt to solve:

Simplifying
24 + -1A = 0

Solving
24 + -1A = 0

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

Add '-24' to each side of the equation.
24 + -24 + -1A = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1A = 0 + -24
-1A = 0 + -24

Combine like terms: 0 + -24 = -24
-1A = -24

Divide each side by '-1'.
A = 24

Simplifying
A = 24
Solution
A = {-35, 24}