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Simplifying 0 = 28a2b2c2 + 21a2bc2 + -14abc Reorder the terms: 0 = -14abc + 21a2bc2 + 28a2b2c2 Solving 0 = -14abc + 21a2bc2 + 28a2b2c2 Solving for variable 'a'. Remove the zero: 14abc + -21a2bc2 + -28a2b2c2 = -14abc + 21a2bc2 + 28a2b2c2 + 14abc + -21a2bc2 + -28a2b2c2 Reorder the terms: 14abc + -21a2bc2 + -28a2b2c2 = -14abc + 14abc + 21a2bc2 + -21a2bc2 + 28a2b2c2 + -28a2b2c2 Combine like terms: -14abc + 14abc = 0 14abc + -21a2bc2 + -28a2b2c2 = 0 + 21a2bc2 + -21a2bc2 + 28a2b2c2 + -28a2b2c2 14abc + -21a2bc2 + -28a2b2c2 = 21a2bc2 + -21a2bc2 + 28a2b2c2 + -28a2b2c2 Combine like terms: 21a2bc2 + -21a2bc2 = 0 14abc + -21a2bc2 + -28a2b2c2 = 0 + 28a2b2c2 + -28a2b2c2 14abc + -21a2bc2 + -28a2b2c2 = 28a2b2c2 + -28a2b2c2 Combine like terms: 28a2b2c2 + -28a2b2c2 = 0 14abc + -21a2bc2 + -28a2b2c2 = 0 Factor out the Greatest Common Factor (GCF), '7abc'. 7abc(2 + -3ac + -4abc) = 0 Ignore the factor 7.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 '(2 + -3ac + -4abc)' equal to zero and attempt to solve: Simplifying 2 + -3ac + -4abc = 0 Reorder the terms: 2 + -4abc + -3ac = 0 Solving 2 + -4abc + -3ac = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -4abc + -2 + -3ac = 0 + -2 Reorder the terms: 2 + -2 + -4abc + -3ac = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -4abc + -3ac = 0 + -2 -4abc + -3ac = 0 + -2 Combine like terms: 0 + -2 = -2 -4abc + -3ac = -2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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