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Simplifying 30a3b + -40ab3 = 0 Reorder the terms: -40ab3 + 30a3b = 0 Solving -40ab3 + 30a3b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '10ab'. 10ab(-4b2 + 3a2) = 0 Ignore the factor 10.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 '(-4b2 + 3a2)' equal to zero and attempt to solve: Simplifying -4b2 + 3a2 = 0 Reorder the terms: 3a2 + -4b2 = 0 Solving 3a2 + -4b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '4b2' to each side of the equation. 3a2 + -4b2 + 4b2 = 0 + 4b2 Combine like terms: -4b2 + 4b2 = 0 3a2 + 0 = 0 + 4b2 3a2 = 0 + 4b2 Remove the zero: 3a2 = 4b2 Divide each side by '3'. a2 = 1.333333333b2 Simplifying a2 = 1.333333333b2 Take the square root of each side: a = {-1.154700538b, 1.154700538b}Solution
a = {-1.154700538b, 1.154700538b}
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