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Simplifying 42abc2 + -12a2bc + 30ab2c = 0 Reorder the terms: 42abc2 + 30ab2c + -12a2bc = 0 Solving 42abc2 + 30ab2c + -12a2bc = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '6abc'. 6abc(7c + 5b + -2a) = 0 Ignore the factor 6.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 '(7c + 5b + -2a)' equal to zero and attempt to solve: Simplifying 7c + 5b + -2a = 0 Reorder the terms: -2a + 5b + 7c = 0 Solving -2a + 5b + 7c = 0 Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. -2a + 5b + -5b + 7c = 0 + -5b Combine like terms: 5b + -5b = 0 -2a + 0 + 7c = 0 + -5b -2a + 7c = 0 + -5b Remove the zero: -2a + 7c = -5b Add '-7c' to each side of the equation. -2a + 7c + -7c = -5b + -7c Combine like terms: 7c + -7c = 0 -2a + 0 = -5b + -7c -2a = -5b + -7c Divide each side by '-2'. a = 2.5b + 3.5c Simplifying a = 2.5b + 3.5cSolution
a = {2.5b + 3.5c}
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