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Simplifying 3a(8a + -6b) = 0 (8a * 3a + -6b * 3a) = 0 Reorder the terms: (-18ab + 24a2) = 0 (-18ab + 24a2) = 0 Solving -18ab + 24a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '6a'. 6a(-3b + 4a) = 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 '(-3b + 4a)' equal to zero and attempt to solve: Simplifying -3b + 4a = 0 Reorder the terms: 4a + -3b = 0 Solving 4a + -3b = 0 Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. 4a + -3b + 3b = 0 + 3b Combine like terms: -3b + 3b = 0 4a + 0 = 0 + 3b 4a = 0 + 3b Remove the zero: 4a = 3b Divide each side by '4'. a = 0.75b Simplifying a = 0.75bSolution
a = {0, 0.75b}
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