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Simplifying 49ab2 + 14abc + ac2 = 0 Reorder the terms: 14abc + 49ab2 + ac2 = 0 Solving 14abc + 49ab2 + ac2 = 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(14bc + 49b2 + c2) = 0 Factor a trinomial. a((7b + c)(7b + c)) = 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 '(7b + c)' equal to zero and attempt to solve: Simplifying 7b + c = 0 Solving 7b + c = 0 Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. 7b + -7b + c = 0 + -7b Combine like terms: 7b + -7b = 0 0 + c = 0 + -7b c = 0 + -7b Remove the zero: c = -7b Add '-1c' to each side of the equation. c + -1c = -7b + -1c Combine like terms: c + -1c = 0 0 = -7b + -1c Simplifying 0 = -7b + -1c The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(7b + c)' equal to zero and attempt to solve: Simplifying 7b + c = 0 Solving 7b + c = 0 Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. 7b + -7b + c = 0 + -7b Combine like terms: 7b + -7b = 0 0 + c = 0 + -7b c = 0 + -7b Remove the zero: c = -7b Add '-1c' to each side of the equation. c + -1c = -7b + -1c Combine like terms: c + -1c = 0 0 = -7b + -1c Simplifying 0 = -7b + -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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