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Simplifying 6abc2 + -15a2bc + 6ab2c = 0 Reorder the terms: 6abc2 + 6ab2c + -15a2bc = 0 Solving 6abc2 + 6ab2c + -15a2bc = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3abc'. 3abc(2c + 2b + -5a) = 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 '(2c + 2b + -5a)' equal to zero and attempt to solve: Simplifying 2c + 2b + -5a = 0 Reorder the terms: -5a + 2b + 2c = 0 Solving -5a + 2b + 2c = 0 Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. -5a + 2b + -2b + 2c = 0 + -2b Combine like terms: 2b + -2b = 0 -5a + 0 + 2c = 0 + -2b -5a + 2c = 0 + -2b Remove the zero: -5a + 2c = -2b Add '-2c' to each side of the equation. -5a + 2c + -2c = -2b + -2c Combine like terms: 2c + -2c = 0 -5a + 0 = -2b + -2c -5a = -2b + -2c Divide each side by '-5'. a = 0.4b + 0.4c Simplifying a = 0.4b + 0.4cSolution
a = {0.4b + 0.4c}
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