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Simplifying 18ab2c + 27a2bc + -24abc2 + 6abc = 0 Reorder the terms: 6abc + -24abc2 + 18ab2c + 27a2bc = 0 Solving 6abc + -24abc2 + 18ab2c + 27a2bc = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3abc'. 3abc(2 + -8c + 6b + 9a) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'abc' equal to zero and attempt to solve: Simplifying abc = 0 Solving abc = 0 Move all terms containing a to the left, all other terms to the right. Simplifying abc = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(2 + -8c + 6b + 9a)' equal to zero and attempt to solve: Simplifying 2 + -8c + 6b + 9a = 0 Reorder the terms: 2 + 9a + 6b + -8c = 0 Solving 2 + 9a + 6b + -8c = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 9a + 6b + -2 + -8c = 0 + -2 Reorder the terms: 2 + -2 + 9a + 6b + -8c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9a + 6b + -8c = 0 + -2 9a + 6b + -8c = 0 + -2 Combine like terms: 0 + -2 = -2 9a + 6b + -8c = -2 Add '-6b' to each side of the equation. 9a + 6b + -6b + -8c = -2 + -6b Combine like terms: 6b + -6b = 0 9a + 0 + -8c = -2 + -6b 9a + -8c = -2 + -6b Add '8c' to each side of the equation. 9a + -8c + 8c = -2 + -6b + 8c Combine like terms: -8c + 8c = 0 9a + 0 = -2 + -6b + 8c 9a = -2 + -6b + 8c Divide each side by '9'. a = -0.2222222222 + -0.6666666667b + 0.8888888889c Simplifying a = -0.2222222222 + -0.6666666667b + 0.8888888889cSolution
a = {-0.2222222222 + -0.6666666667b + 0.8888888889c}
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