3ay^2-48a=0

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Solution for 3ay^2-48a=0 equation:


Simplifying
3ay2 + -48a = 0

Reorder the terms:
-48a + 3ay2 = 0

Solving
-48a + 3ay2 = 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), '3a'.
3a(-16 + y2) = 0

Factor a difference between two squares.
3a((4 + y)(-4 + y)) = 0

Ignore the factor 3.

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 + y)' equal to zero and attempt to solve: Simplifying 4 + y = 0 Solving 4 + y = 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 + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y = 0 + -4 y = 0 + -4 Combine like terms: 0 + -4 = -4 y = -4 Add '-1y' to each side of the equation. y + -1y = -4 + -1y Combine like terms: y + -1y = 0 0 = -4 + -1y Simplifying 0 = -4 + -1y 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 '(-4 + y)' equal to zero and attempt to solve: Simplifying -4 + y = 0 Solving -4 + y = 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 + y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + y = 0 + 4 y = 0 + 4 Combine like terms: 0 + 4 = 4 y = 4 Add '-1y' to each side of the equation. y + -1y = 4 + -1y Combine like terms: y + -1y = 0 0 = 4 + -1y Simplifying 0 = 4 + -1y 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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