A(5a-12)(a+4)=0

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Solution for A(5a-12)(a+4)=0 equation: 


Simplifying
A(5a + -12)(a + 4) = 0

Reorder the terms:
A(-12 + 5a)(a + 4) = 0

Reorder the terms:
A(-12 + 5a)(4 + a) = 0

Multiply (-12 + 5a) * (4 + a)
A(-12(4 + a) + 5a * (4 + a)) = 0
A((4 * -12 + a * -12) + 5a * (4 + a)) = 0
A((-48 + -12a) + 5a * (4 + a)) = 0
A(-48 + -12a + (4 * 5a + a * 5a)) = 0
A(-48 + -12a + (20a + 5a2)) = 0

Combine like terms: -12a + 20a = 8a
A(-48 + 8a + 5a2) = 0
(-48 * A + 8a * A + 5a2 * A) = 0
(-48A + 8aA + 5a2A) = 0

Solving
-48A + 8aA + 5a2A = 0

Solving for variable 'A'.

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

Factor out the Greatest Common Factor (GCF), 'A'.
A(-48 + 8a + 5a2) = 0

Factor a trinomial.
A((-4 + -1a)(12 + -5a)) = 0


Subproblem 1
Set the factor 'A' equal to zero and attempt to solve:

Simplifying
A = 0

Solving
A = 0

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

Simplifying
A = 0

Subproblem 2
Set the factor '(-4 + -1a)' equal to zero and attempt to solve:

Simplifying
-4 + -1a = 0

Solving
-4 + -1a = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1a = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1a = 0 + 4
-1a = 0 + 4

Combine like terms: 0 + 4 = 4
-1a = 4

Add 'a' to each side of the equation.
-1a + a = 4 + a

Combine like terms: -1a + a = 0
0 = 4 + a

Simplifying
0 = 4 + a

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(12 + -5a)' equal to zero and attempt to solve:

Simplifying
12 + -5a = 0

Solving
12 + -5a = 0

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

Add '-12' to each side of the equation.
12 + -12 + -5a = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -5a = 0 + -12
-5a = 0 + -12

Combine like terms: 0 + -12 = -12
-5a = -12

Add '5a' to each side of the equation.
-5a + 5a = -12 + 5a

Combine like terms: -5a + 5a = 0
0 = -12 + 5a

Simplifying
0 = -12 + 5a

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
A = {0}

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