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Simplifying a(8x + 2y) = 0 (8x * a + 2y * a) = 0 (8ax + 2ay) = 0 Solving 8ax + 2ay = 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), '2a'. 2a(4x + y) = 0 Ignore the factor 2.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 = 0Subproblem 2
Set the factor '(4x + y)' equal to zero and attempt to solve: Simplifying 4x + y = 0 Solving 4x + y = 0 Move all terms containing a to the left, all other terms to the right. Add '-4x' to each side of the equation. 4x + -4x + y = 0 + -4x Combine like terms: 4x + -4x = 0 0 + y = 0 + -4x y = 0 + -4x Remove the zero: y = -4x Add '-1y' to each side of the equation. y + -1y = -4x + -1y Combine like terms: y + -1y = 0 0 = -4x + -1y Simplifying 0 = -4x + -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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