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Simplifying 3a(c + -1d + e) = 0 (c * 3a + -1d * 3a + e * 3a) = 0 (3ac + -3ad + 3ae) = 0 Solving 3ac + -3ad + 3ae = 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(c + -1d + e) = 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 = 0Subproblem 2
Set the factor '(c + -1d + e)' equal to zero and attempt to solve: Simplifying c + -1d + e = 0 Solving c + -1d + e = 0 Move all terms containing a to the left, all other terms to the right. Add '-1c' to each side of the equation. c + -1d + -1c + e = 0 + -1c Reorder the terms: c + -1c + -1d + e = 0 + -1c Combine like terms: c + -1c = 0 0 + -1d + e = 0 + -1c -1d + e = 0 + -1c Remove the zero: -1d + e = -1c Add 'd' to each side of the equation. -1d + d + e = -1c + d Combine like terms: -1d + d = 0 0 + e = -1c + d e = -1c + d Add '-1e' to each side of the equation. e + -1e = -1c + d + -1e Combine like terms: e + -1e = 0 0 = -1c + d + -1e Simplifying 0 = -1c + d + -1e 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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