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Simplifying 50a3b + -8ab = 0 Reorder the terms: -8ab + 50a3b = 0 Solving -8ab + 50a3b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2ab'. 2ab(-4 + 25a2) = 0 Factor a difference between two squares. 2ab((2 + 5a)(-2 + 5a)) = 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 '(2 + 5a)' equal to zero and attempt to solve: Simplifying 2 + 5a = 0 Solving 2 + 5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5a = 0 + -2 5a = 0 + -2 Combine like terms: 0 + -2 = -2 5a = -2 Divide each side by '5'. a = -0.4 Simplifying a = -0.4Subproblem 3
Set the factor '(-2 + 5a)' equal to zero and attempt to solve: Simplifying -2 + 5a = 0 Solving -2 + 5a = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 5a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5a = 0 + 2 5a = 0 + 2 Combine like terms: 0 + 2 = 2 5a = 2 Divide each side by '5'. a = 0.4 Simplifying a = 0.4Solution
a = {-0.4, 0.4}
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