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Simplifying 15a5b3 + -20a3b = 0 Reorder the terms: -20a3b + 15a5b3 = 0 Solving -20a3b + 15a5b3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5a3b'. 5a3b(-4 + 3a2b2) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'a3b' equal to zero and attempt to solve: Simplifying a3b = 0 Solving a3b = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3b = 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 '(-4 + 3a2b2)' equal to zero and attempt to solve: Simplifying -4 + 3a2b2 = 0 Solving -4 + 3a2b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3a2b2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3a2b2 = 0 + 4 3a2b2 = 0 + 4 Combine like terms: 0 + 4 = 4 3a2b2 = 4 Divide each side by '3b2'. a2 = 1.333333333b-2 Simplifying a2 = 1.333333333b-2 Take the square root of each side: a = {-1.154700538b-1, 1.154700538b-1}Solution
a = {-1.154700538b-1, 1.154700538b-1}
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