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Simplifying 50a3 + -2ab2 = 0 Reorder the terms: -2ab2 + 50a3 = 0 Solving -2ab2 + 50a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(-1b2 + 25a2) = 0 Factor a difference between two squares. 2a((b + 5a)(-1b + 5a)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(b + 5a)' equal to zero and attempt to solve: Simplifying b + 5a = 0 Reorder the terms: 5a + b = 0 Solving 5a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 5a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 5a + 0 = 0 + -1b 5a = 0 + -1b Remove the zero: 5a = -1b Divide each side by '5'. a = -0.2b Simplifying a = -0.2bSubproblem 3
Set the factor '(-1b + 5a)' equal to zero and attempt to solve: Simplifying -1b + 5a = 0 Reorder the terms: 5a + -1b = 0 Solving 5a + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. 5a + -1b + b = 0 + b Combine like terms: -1b + b = 0 5a + 0 = 0 + b 5a = 0 + b Remove the zero: 5a = b Divide each side by '5'. a = 0.2b Simplifying a = 0.2bSolution
a = {0, -0.2b, 0.2b}
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