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Simplifying 5abc2 + 25a3bc = 0 Solving 5abc2 + 25a3bc = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5abc'. 5abc(c + 5a2) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'abc' equal to zero and attempt to solve: Simplifying abc = 0 Solving abc = 0 Move all terms containing a to the left, all other terms to the right. Simplifying abc = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(c + 5a2)' equal to zero and attempt to solve: Simplifying c + 5a2 = 0 Reorder the terms: 5a2 + c = 0 Solving 5a2 + c = 0 Move all terms containing a to the left, all other terms to the right. Add '-1c' to each side of the equation. 5a2 + c + -1c = 0 + -1c Combine like terms: c + -1c = 0 5a2 + 0 = 0 + -1c 5a2 = 0 + -1c Remove the zero: 5a2 = -1c Divide each side by '5'. a2 = -0.2c Simplifying a2 = -0.2c The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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