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Simplifying 2a(b + -1c) = 30a (b * 2a + -1c * 2a) = 30a (2ab + -2ac) = 30a Solving 2ab + -2ac = 30a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30a' to each side of the equation. 2ab + -30a + -2ac = 30a + -30a Reorder the terms: -30a + 2ab + -2ac = 30a + -30a Combine like terms: 30a + -30a = 0 -30a + 2ab + -2ac = 0 Factor out the Greatest Common Factor (GCF), '2a'. 2a(-15 + b + -1c) = 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 '(-15 + b + -1c)' equal to zero and attempt to solve: Simplifying -15 + b + -1c = 0 Solving -15 + b + -1c = 0 Move all terms containing a to the left, all other terms to the right. Add '15' to each side of the equation. -15 + b + 15 + -1c = 0 + 15 Reorder the terms: -15 + 15 + b + -1c = 0 + 15 Combine like terms: -15 + 15 = 0 0 + b + -1c = 0 + 15 b + -1c = 0 + 15 Combine like terms: 0 + 15 = 15 b + -1c = 15 Add '-1b' to each side of the equation. b + -1b + -1c = 15 + -1b Combine like terms: b + -1b = 0 0 + -1c = 15 + -1b -1c = 15 + -1b Add 'c' to each side of the equation. -1c + c = 15 + -1b + c Combine like terms: -1c + c = 0 0 = 15 + -1b + c Simplifying 0 = 15 + -1b + c 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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