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Simplifying 12a2 + -20ab = 0 Reorder the terms: -20ab + 12a2 = 0 Solving -20ab + 12a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a'. 4a(-5b + 3a) = 0 Ignore the factor 4.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 '(-5b + 3a)' equal to zero and attempt to solve: Simplifying -5b + 3a = 0 Reorder the terms: 3a + -5b = 0 Solving 3a + -5b = 0 Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. 3a + -5b + 5b = 0 + 5b Combine like terms: -5b + 5b = 0 3a + 0 = 0 + 5b 3a = 0 + 5b Remove the zero: 3a = 5b Divide each side by '3'. a = 1.666666667b Simplifying a = 1.666666667bSolution
a = {0, 1.666666667b}
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