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