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Simplifying (5c + -1d) * 4a = 0 Reorder the terms for easier multiplication: 4a(5c + -1d) = 0 (5c * 4a + -1d * 4a) = 0 (20ac + -4ad) = 0 Solving 20ac + -4ad = 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), '4a'. 4a(5c + -1d) = 0 Ignore the factor 4.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 '(5c + -1d)' equal to zero and attempt to solve: Simplifying 5c + -1d = 0 Solving 5c + -1d = 0 Move all terms containing a to the left, all other terms to the right. Add '-5c' to each side of the equation. 5c + -5c + -1d = 0 + -5c Combine like terms: 5c + -5c = 0 0 + -1d = 0 + -5c -1d = 0 + -5c Remove the zero: -1d = -5c Add 'd' to each side of the equation. -1d + d = -5c + d Combine like terms: -1d + d = 0 0 = -5c + d Simplifying 0 = -5c + d 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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