6a(8a+4y)=

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Solution for 6a(8a+4y)= equation:


Simplifying
6a(8a + 4y) = 0
(8a * 6a + 4y * 6a) = 0

Reorder the terms:
(24ay + 48a2) = 0
(24ay + 48a2) = 0

Solving
24ay + 48a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '24a'.
24a(y + 2a) = 0

Ignore the factor 24.

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 '(y + 2a)' equal to zero and attempt to solve: Simplifying y + 2a = 0 Reorder the terms: 2a + y = 0 Solving 2a + y = 0 Move all terms containing a to the left, all other terms to the right. Add '-1y' to each side of the equation. 2a + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 2a + 0 = 0 + -1y 2a = 0 + -1y Remove the zero: 2a = -1y Divide each side by '2'. a = -0.5y Simplifying a = -0.5y

Solution

a = {0, -0.5y}

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