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