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Simplifying 12abc2 + -28a2bc + 8ab2c = 0 Reorder the terms: 12abc2 + 8ab2c + -28a2bc = 0 Solving 12abc2 + 8ab2c + -28a2bc = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4abc'. 4abc(3c + 2b + -7a) = 0 Ignore the factor 4.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 '(3c + 2b + -7a)' equal to zero and attempt to solve: Simplifying 3c + 2b + -7a = 0 Reorder the terms: -7a + 2b + 3c = 0 Solving -7a + 2b + 3c = 0 Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. -7a + 2b + -2b + 3c = 0 + -2b Combine like terms: 2b + -2b = 0 -7a + 0 + 3c = 0 + -2b -7a + 3c = 0 + -2b Remove the zero: -7a + 3c = -2b Add '-3c' to each side of the equation. -7a + 3c + -3c = -2b + -3c Combine like terms: 3c + -3c = 0 -7a + 0 = -2b + -3c -7a = -2b + -3c Divide each side by '-7'. a = 0.2857142857b + 0.4285714286c Simplifying a = 0.2857142857b + 0.4285714286cSolution
a = {0.2857142857b + 0.4285714286c}
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