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Simplifying 0 = 3a(b + -1c) 0 = (b * 3a + -1c * 3a) 0 = (3ab + -3ac) Solving 0 = 3ab + -3ac Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3ab' to each side of the equation. 0 + -3ab = 3ab + -3ab + -3ac Remove the zero: -3ab = 3ab + -3ab + -3ac Combine like terms: 3ab + -3ab = 0 -3ab = 0 + -3ac -3ab = -3ac Add '3ac' to each side of the equation. -3ab + 3ac = -3ac + 3ac Combine like terms: -3ac + 3ac = 0 -3ab + 3ac = 0 Factor out the Greatest Common Factor (GCF), '3a'. 3a(-1b + c) = 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 '(-1b + c)' equal to zero and attempt to solve: Simplifying -1b + c = 0 Solving -1b + c = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. -1b + b + c = 0 + b Combine like terms: -1b + b = 0 0 + c = 0 + b c = 0 + b Remove the zero: c = b Add '-1c' to each side of the equation. c + -1c = b + -1c Combine like terms: c + -1c = 0 0 = b + -1c Simplifying 0 = b + -1c 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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