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Simplifying 24a3c + 16a2c2 = 0 Reorder the terms: 16a2c2 + 24a3c = 0 Solving 16a2c2 + 24a3c = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '8a2c'. 8a2c(2c + 3a) = 0 Ignore the factor 8.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 '(2c + 3a)' equal to zero and attempt to solve: Simplifying 2c + 3a = 0 Reorder the terms: 3a + 2c = 0 Solving 3a + 2c = 0 Move all terms containing a to the left, all other terms to the right. Add '-2c' to each side of the equation. 3a + 2c + -2c = 0 + -2c Combine like terms: 2c + -2c = 0 3a + 0 = 0 + -2c 3a = 0 + -2c Remove the zero: 3a = -2c Divide each side by '3'. a = -0.6666666667c Simplifying a = -0.6666666667cSolution
a = {-0.6666666667c}
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