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Simplifying 35a + 145ab + -49ac = 0 Solving 35a + 145ab + -49ac = 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), 'a'. a(35 + 145b + -49c) = 0Subproblem 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 '(35 + 145b + -49c)' equal to zero and attempt to solve: Simplifying 35 + 145b + -49c = 0 Solving 35 + 145b + -49c = 0 Move all terms containing a to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + 145b + -35 + -49c = 0 + -35 Reorder the terms: 35 + -35 + 145b + -49c = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 145b + -49c = 0 + -35 145b + -49c = 0 + -35 Combine like terms: 0 + -35 = -35 145b + -49c = -35 Add '-145b' to each side of the equation. 145b + -145b + -49c = -35 + -145b Combine like terms: 145b + -145b = 0 0 + -49c = -35 + -145b -49c = -35 + -145b Add '49c' to each side of the equation. -49c + 49c = -35 + -145b + 49c Combine like terms: -49c + 49c = 0 0 = -35 + -145b + 49c Simplifying 0 = -35 + -145b + 49c 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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