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Simplifying 32a3b2 + -24a2b4c = 0 Reorder the terms: -24a2b4c + 32a3b2 = 0 Solving -24a2b4c + 32a3b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '8a2b2'. 8a2b2(-3b2c + 4a) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'a2b2' equal to zero and attempt to solve: Simplifying a2b2 = 0 Solving a2b2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2b2 = 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 '(-3b2c + 4a)' equal to zero and attempt to solve: Simplifying -3b2c + 4a = 0 Reorder the terms: 4a + -3b2c = 0 Solving 4a + -3b2c = 0 Move all terms containing a to the left, all other terms to the right. Add '3b2c' to each side of the equation. 4a + -3b2c + 3b2c = 0 + 3b2c Combine like terms: -3b2c + 3b2c = 0 4a + 0 = 0 + 3b2c 4a = 0 + 3b2c Remove the zero: 4a = 3b2c Divide each side by '4'. a = 0.75b2c Simplifying a = 0.75b2cSolution
a = {0.75b2c}
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