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Simplifying 8a2b3 + -16a3b2 = 0 Solving 8a2b3 + -16a3b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '8a2b2'. 8a2b2(b + -2a) = 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 '(b + -2a)' equal to zero and attempt to solve: Simplifying b + -2a = 0 Reorder the terms: -2a + b = 0 Solving -2a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. -2a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 -2a + 0 = 0 + -1b -2a = 0 + -1b Remove the zero: -2a = -1b Divide each side by '-2'. a = 0.5b Simplifying a = 0.5bSolution
a = {0.5b}
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