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Simplifying 16a3b5 + -12a2b8 = 0 Reorder the terms: -12a2b8 + 16a3b5 = 0 Solving -12a2b8 + 16a3b5 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a2b5'. 4a2b5(-3b3 + 4a) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'a2b5' equal to zero and attempt to solve: Simplifying a2b5 = 0 Solving a2b5 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2b5 = 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 '(-3b3 + 4a)' equal to zero and attempt to solve: Simplifying -3b3 + 4a = 0 Reorder the terms: 4a + -3b3 = 0 Solving 4a + -3b3 = 0 Move all terms containing a to the left, all other terms to the right. Add '3b3' to each side of the equation. 4a + -3b3 + 3b3 = 0 + 3b3 Combine like terms: -3b3 + 3b3 = 0 4a + 0 = 0 + 3b3 4a = 0 + 3b3 Remove the zero: 4a = 3b3 Divide each side by '4'. a = 0.75b3 Simplifying a = 0.75b3Solution
a = {0.75b3}
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