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Simplifying 15abc2 + -21a2bc + 9ab2c = 0 Reorder the terms: 15abc2 + 9ab2c + -21a2bc = 0 Solving 15abc2 + 9ab2c + -21a2bc = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3abc'. 3abc(5c + 3b + -7a) = 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 '(5c + 3b + -7a)' equal to zero and attempt to solve: Simplifying 5c + 3b + -7a = 0 Reorder the terms: -7a + 3b + 5c = 0 Solving -7a + 3b + 5c = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. -7a + 3b + -3b + 5c = 0 + -3b Combine like terms: 3b + -3b = 0 -7a + 0 + 5c = 0 + -3b -7a + 5c = 0 + -3b Remove the zero: -7a + 5c = -3b Add '-5c' to each side of the equation. -7a + 5c + -5c = -3b + -5c Combine like terms: 5c + -5c = 0 -7a + 0 = -3b + -5c -7a = -3b + -5c Divide each side by '-7'. a = 0.4285714286b + 0.7142857143c Simplifying a = 0.4285714286b + 0.7142857143cSolution
a = {0.4285714286b + 0.7142857143c}
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