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Simplifying a5b2 + -64a3b4 = 0 Reorder the terms: -64a3b4 + a5b2 = 0 Solving -64a3b4 + a5b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a3b2'. a3b2(-64b2 + a2) = 0 Factor a difference between two squares. a3b2((8b + a)(-8b + a)) = 0Subproblem 1
Set the factor 'a3b2' equal to zero and attempt to solve: Simplifying a3b2 = 0 Solving a3b2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3b2 = 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 '(8b + a)' equal to zero and attempt to solve: Simplifying 8b + a = 0 Reorder the terms: a + 8b = 0 Solving a + 8b = 0 Move all terms containing a to the left, all other terms to the right. Add '-8b' to each side of the equation. a + 8b + -8b = 0 + -8b Combine like terms: 8b + -8b = 0 a + 0 = 0 + -8b a = 0 + -8b Remove the zero: a = -8b Simplifying a = -8bSubproblem 3
Set the factor '(-8b + a)' equal to zero and attempt to solve: Simplifying -8b + a = 0 Reorder the terms: a + -8b = 0 Solving a + -8b = 0 Move all terms containing a to the left, all other terms to the right. Add '8b' to each side of the equation. a + -8b + 8b = 0 + 8b Combine like terms: -8b + 8b = 0 a + 0 = 0 + 8b a = 0 + 8b Remove the zero: a = 8b Simplifying a = 8bSolution
a = {-8b, 8b}
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