A(A-12)-15=30

Solution for A(A-12)-15=30 equation:

Simplifying
A(A + -12) + -15 = 30

Reorder the terms:
A(-12 + A) + -15 = 30
(-12 * A + A * A) + -15 = 30
(-12A + A2) + -15 = 30

Reorder the terms:
-15 + -12A + A2 = 30

Solving
-15 + -12A + A2 = 30

Solving for variable 'A'.

Reorder the terms:
-15 + -30 + -12A + A2 = 30 + -30

Combine like terms: -15 + -30 = -45
-45 + -12A + A2 = 30 + -30

Combine like terms: 30 + -30 = 0
-45 + -12A + A2 = 0

Factor a trinomial.
(-3 + -1A)(15 + -1A) = 0

Subproblem 1
Set the factor '(-3 + -1A)' equal to zero and attempt to solve:

Simplifying
-3 + -1A = 0

Solving
-3 + -1A = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1A = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1A = 0 + 3
-1A = 0 + 3

Combine like terms: 0 + 3 = 3
-1A = 3

Divide each side by '-1'.
A = -3

Simplifying
A = -3
Subproblem 2
Set the factor '(15 + -1A)' equal to zero and attempt to solve:

Simplifying
15 + -1A = 0

Solving
15 + -1A = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1A = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1A = 0 + -15
-1A = 0 + -15

Combine like terms: 0 + -15 = -15
-1A = -15

Divide each side by '-1'.
A = 15

Simplifying
A = 15
Solution
A = {-3, 15}