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Simplifying (3a)(b + a + -2d) = 0 Remove parenthesis around (3a) 3a(b + a + -2d) = 0 Reorder the terms: 3a(a + b + -2d) = 0 (a * 3a + b * 3a + -2d * 3a) = 0 Reorder the terms: (3ab + -6ad + 3a2) = 0 (3ab + -6ad + 3a2) = 0 Solving 3ab + -6ad + 3a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a'. 3a(b + -2d + a) = 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 '(b + -2d + a)' equal to zero and attempt to solve: Simplifying b + -2d + a = 0 Reorder the terms: a + b + -2d = 0 Solving a + b + -2d = 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 + -2d = 0 + -1b Combine like terms: b + -1b = 0 a + 0 + -2d = 0 + -1b a + -2d = 0 + -1b Remove the zero: a + -2d = -1b Add '2d' to each side of the equation. a + -2d + 2d = -1b + 2d Combine like terms: -2d + 2d = 0 a + 0 = -1b + 2d a = -1b + 2d Simplifying a = -1b + 2dSolution
a = {0, -1b + 2d}
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