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Simplifying 5a3c2 + 30a2c = 0 Reorder the terms: 30a2c + 5a3c2 = 0 Solving 30a2c + 5a3c2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5a2c'. 5a2c(6 + ac) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'a2c' equal to zero and attempt to solve: Simplifying a2c = 0 Solving a2c = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2c = 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 '(6 + ac)' equal to zero and attempt to solve: Simplifying 6 + ac = 0 Solving 6 + ac = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + ac = 0 + -6 Combine like terms: 6 + -6 = 0 0 + ac = 0 + -6 ac = 0 + -6 Combine like terms: 0 + -6 = -6 ac = -6 Divide each side by 'c'. a = -6c-1 Simplifying a = -6c-1Solution
a = {-6c-1}
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