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Simplifying -2a(3a + -4b) = 0 (3a * -2a + -4b * -2a) = 0 Reorder the terms: (8ab + -6a2) = 0 (8ab + -6a2) = 0 Solving 8ab + -6a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(4b + -3a) = 0 Ignore the factor 2.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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