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Simplifying 6abc2 + -10a2bc + 14ab2c = 0 Reorder the terms: 6abc2 + 14ab2c + -10a2bc = 0 Solving 6abc2 + 14ab2c + -10a2bc = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2abc'. 2abc(3c + 7b + -5a) = 0 Ignore the factor 2.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 + 7b + -5a)' equal to zero and attempt to solve: Simplifying 3c + 7b + -5a = 0 Reorder the terms: -5a + 7b + 3c = 0 Solving -5a + 7b + 3c = 0 Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. -5a + 7b + -7b + 3c = 0 + -7b Combine like terms: 7b + -7b = 0 -5a + 0 + 3c = 0 + -7b -5a + 3c = 0 + -7b Remove the zero: -5a + 3c = -7b Add '-3c' to each side of the equation. -5a + 3c + -3c = -7b + -3c Combine like terms: 3c + -3c = 0 -5a + 0 = -7b + -3c -5a = -7b + -3c Divide each side by '-5'. a = 1.4b + 0.6c Simplifying a = 1.4b + 0.6cSolution
a = {1.4b + 0.6c}
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