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Simplifying (3a)(b + c + -2d) = 0 Remove parenthesis around (3a) 3a(b + c + -2d) = 0 (b * 3a + c * 3a + -2d * 3a) = 0 (3ab + 3ac + -6ad) = 0 Solving 3ab + 3ac + -6ad = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '3a'. 3a(b + c + -2d) = 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 + c + -2d)' equal to zero and attempt to solve: Simplifying b + c + -2d = 0 Solving b + c + -2d = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. b + c + -1b + -2d = 0 + -1b Reorder the terms: b + -1b + c + -2d = 0 + -1b Combine like terms: b + -1b = 0 0 + c + -2d = 0 + -1b c + -2d = 0 + -1b Remove the zero: c + -2d = -1b Add '-1c' to each side of the equation. c + -1c + -2d = -1b + -1c Combine like terms: c + -1c = 0 0 + -2d = -1b + -1c -2d = -1b + -1c Add '2d' to each side of the equation. -2d + 2d = -1b + -1c + 2d Combine like terms: -2d + 2d = 0 0 = -1b + -1c + 2d Simplifying 0 = -1b + -1c + 2d The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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