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Simplifying 3a(2b + -1a + 3) = 0 Reorder the terms: 3a(3 + -1a + 2b) = 0 (3 * 3a + -1a * 3a + 2b * 3a) = 0 Reorder the terms: (9a + 6ab + -3a2) = 0 (9a + 6ab + -3a2) = 0 Solving 9a + 6ab + -3a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a'. 3a(3 + 2b + -1a) = 0 Ignore the factor 3.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 '(3 + 2b + -1a)' equal to zero and attempt to solve: Simplifying 3 + 2b + -1a = 0 Reorder the terms: 3 + -1a + 2b = 0 Solving 3 + -1a + 2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -1a + -3 + 2b = 0 + -3 Reorder the terms: 3 + -3 + -1a + 2b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1a + 2b = 0 + -3 -1a + 2b = 0 + -3 Combine like terms: 0 + -3 = -3 -1a + 2b = -3 Add '-2b' to each side of the equation. -1a + 2b + -2b = -3 + -2b Combine like terms: 2b + -2b = 0 -1a + 0 = -3 + -2b -1a = -3 + -2b Divide each side by '-1'. a = 3 + 2b Simplifying a = 3 + 2bSolution
a = {0, 3 + 2b}
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