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Simplifying 2a3b + -50ab3 = 0 Reorder the terms: -50ab3 + 2a3b = 0 Solving -50ab3 + 2a3b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2ab'. 2ab(-25b2 + a2) = 0 Factor a difference between two squares. 2ab((5b + a)(-5b + a)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve: Simplifying ab = 0 Solving ab = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab = 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 '(5b + a)' equal to zero and attempt to solve: Simplifying 5b + a = 0 Reorder the terms: a + 5b = 0 Solving a + 5b = 0 Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. a + 5b + -5b = 0 + -5b Combine like terms: 5b + -5b = 0 a + 0 = 0 + -5b a = 0 + -5b Remove the zero: a = -5b Simplifying a = -5bSubproblem 3
Set the factor '(-5b + a)' equal to zero and attempt to solve: Simplifying -5b + a = 0 Reorder the terms: a + -5b = 0 Solving a + -5b = 0 Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. a + -5b + 5b = 0 + 5b Combine like terms: -5b + 5b = 0 a + 0 = 0 + 5b a = 0 + 5b Remove the zero: a = 5b Simplifying a = 5bSolution
a = {-5b, 5b}
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