(6A-1)(A+5)=0

Solution for (6A-1)(A+5)=0 equation:

Simplifying
(6A + -1)(A + 5) = 0

Reorder the terms:
(-1 + 6A)(A + 5) = 0

Reorder the terms:
(-1 + 6A)(5 + A) = 0

Multiply (-1 + 6A) * (5 + A)
(-1(5 + A) + 6A * (5 + A)) = 0
((5 * -1 + A * -1) + 6A * (5 + A)) = 0
((-5 + -1A) + 6A * (5 + A)) = 0
(-5 + -1A + (5 * 6A + A * 6A)) = 0
(-5 + -1A + (30A + 6A2)) = 0

Combine like terms: -1A + 30A = 29A
(-5 + 29A + 6A2) = 0

Solving
-5 + 29A + 6A2 = 0

Solving for variable 'A'.

Factor a trinomial.
(-5 + -1A)(1 + -6A) = 0

Subproblem 1
Set the factor '(-5 + -1A)' equal to zero and attempt to solve:

Simplifying
-5 + -1A = 0

Solving
-5 + -1A = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1A = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1A = 0 + 5
-1A = 0 + 5

Combine like terms: 0 + 5 = 5
-1A = 5

Divide each side by '-1'.
A = -5

Simplifying
A = -5
Subproblem 2
Set the factor '(1 + -6A)' equal to zero and attempt to solve:

Simplifying
1 + -6A = 0

Solving
1 + -6A = 0

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

Add '-1' to each side of the equation.
1 + -1 + -6A = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6A = 0 + -1
-6A = 0 + -1

Combine like terms: 0 + -1 = -1
-6A = -1

Divide each side by '-6'.
A = 0.1666666667

Simplifying
A = 0.1666666667
Solution
A = {-5, 0.1666666667}