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Simplifying 6a(3a + -4b) = 0 (3a * 6a + -4b * 6a) = 0 Reorder the terms: (-24ab + 18a2) = 0 (-24ab + 18a2) = 0 Solving -24ab + 18a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '6a'. 6a(-4b + 3a) = 0 Ignore the factor 6.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 '(-4b + 3a)' equal to zero and attempt to solve: Simplifying -4b + 3a = 0 Reorder the terms: 3a + -4b = 0 Solving 3a + -4b = 0 Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. 3a + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 3a + 0 = 0 + 4b 3a = 0 + 4b Remove the zero: 3a = 4b Divide each side by '3'. a = 1.333333333b Simplifying a = 1.333333333bSolution
a = {0, 1.333333333b}
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