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Simplifying 8ab3 + -20a3b = 0 Solving 8ab3 + -20a3b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4ab'. 4ab(2b2 + -5a2) = 0 Ignore the factor 4.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 '(2b2 + -5a2)' equal to zero and attempt to solve: Simplifying 2b2 + -5a2 = 0 Reorder the terms: -5a2 + 2b2 = 0 Solving -5a2 + 2b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-2b2' to each side of the equation. -5a2 + 2b2 + -2b2 = 0 + -2b2 Combine like terms: 2b2 + -2b2 = 0 -5a2 + 0 = 0 + -2b2 -5a2 = 0 + -2b2 Remove the zero: -5a2 = -2b2 Divide each side by '-5'. a2 = 0.4b2 Simplifying a2 = 0.4b2 Take the square root of each side: a = {-0.632455532b, 0.632455532b}Solution
a = {-0.632455532b, 0.632455532b}
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