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Simplifying 0 = 3a(4x + 2y) 0 = (4x * 3a + 2y * 3a) 0 = (12ax + 6ay) Solving 0 = 12ax + 6ay Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12ax' to each side of the equation. 0 + -12ax = 12ax + -12ax + 6ay Remove the zero: -12ax = 12ax + -12ax + 6ay Combine like terms: 12ax + -12ax = 0 -12ax = 0 + 6ay -12ax = 6ay Add '-6ay' to each side of the equation. -12ax + -6ay = 6ay + -6ay Combine like terms: 6ay + -6ay = 0 -12ax + -6ay = 0 Factor out the Greatest Common Factor (GCF), '-6a'. -6a(2x + y) = 0 Ignore the factor -6.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 '(2x + y)' equal to zero and attempt to solve: Simplifying 2x + y = 0 Solving 2x + y = 0 Move all terms containing a to the left, all other terms to the right. Add '-2x' to each side of the equation. 2x + -2x + y = 0 + -2x Combine like terms: 2x + -2x = 0 0 + y = 0 + -2x y = 0 + -2x Remove the zero: y = -2x Add '-1y' to each side of the equation. y + -1y = -2x + -1y Combine like terms: y + -1y = 0 0 = -2x + -1y Simplifying 0 = -2x + -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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