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Simplifying (2a + -3b)(-6a) = 0 Remove parenthesis around (-6a) (2a + -3b) * -6a = 0 Reorder the terms for easier multiplication: -6a(2a + -3b) = 0 (2a * -6a + -3b * -6a) = 0 Reorder the terms: (18ab + -12a2) = 0 (18ab + -12a2) = 0 Solving 18ab + -12a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '6a'. 6a(3b + -2a) = 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 + -2a)' equal to zero and attempt to solve: Simplifying 3b + -2a = 0 Reorder the terms: -2a + 3b = 0 Solving -2a + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. -2a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 -2a + 0 = 0 + -3b -2a = 0 + -3b Remove the zero: -2a = -3b Divide each side by '-2'. a = 1.5b Simplifying a = 1.5bSolution
a = {0, 1.5b}
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