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Simplifying 2a(4 + 8b + -7c) = 0 (4 * 2a + 8b * 2a + -7c * 2a) = 0 (8a + 16ab + -14ac) = 0 Solving 8a + 16ab + -14ac = 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), '2a'. 2a(4 + 8b + -7c) = 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 '(4 + 8b + -7c)' equal to zero and attempt to solve: Simplifying 4 + 8b + -7c = 0 Solving 4 + 8b + -7c = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 8b + -4 + -7c = 0 + -4 Reorder the terms: 4 + -4 + 8b + -7c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 8b + -7c = 0 + -4 8b + -7c = 0 + -4 Combine like terms: 0 + -4 = -4 8b + -7c = -4 Add '-8b' to each side of the equation. 8b + -8b + -7c = -4 + -8b Combine like terms: 8b + -8b = 0 0 + -7c = -4 + -8b -7c = -4 + -8b Add '7c' to each side of the equation. -7c + 7c = -4 + -8b + 7c Combine like terms: -7c + 7c = 0 0 = -4 + -8b + 7c Simplifying 0 = -4 + -8b + 7c 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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