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Simplifying 16a2b + -32a2b3 + 24a3b = 0 Solving 16a2b + -32a2b3 + 24a3b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '8a2b'. 8a2b(2 + -4b2 + 3a) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'a2b' equal to zero and attempt to solve: Simplifying a2b = 0 Solving a2b = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2b = 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 '(2 + -4b2 + 3a)' equal to zero and attempt to solve: Simplifying 2 + -4b2 + 3a = 0 Reorder the terms: 2 + 3a + -4b2 = 0 Solving 2 + 3a + -4b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3a + -2 + -4b2 = 0 + -2 Reorder the terms: 2 + -2 + 3a + -4b2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3a + -4b2 = 0 + -2 3a + -4b2 = 0 + -2 Combine like terms: 0 + -2 = -2 3a + -4b2 = -2 Add '4b2' to each side of the equation. 3a + -4b2 + 4b2 = -2 + 4b2 Combine like terms: -4b2 + 4b2 = 0 3a + 0 = -2 + 4b2 3a = -2 + 4b2 Divide each side by '3'. a = -0.6666666667 + 1.333333333b2 Simplifying a = -0.6666666667 + 1.333333333b2Solution
a = {-0.6666666667 + 1.333333333b2}
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