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Simplifying 4abc + -4ab + -4abc(c + 1) = 0 Reorder the terms: 4abc + -4ab + -4abc(1 + c) = 0 4abc + -4ab + (1 * -4abc + c * -4abc) = 0 4abc + -4ab + (-4abc + -4abc2) = 0 Reorder the terms: -4ab + 4abc + -4abc + -4abc2 = 0 Combine like terms: 4abc + -4abc = 0 -4ab + 0 + -4abc2 = 0 -4ab + -4abc2 = 0 Solving -4ab + -4abc2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '-4ab'. -4ab(1 + c2) = 0 Ignore the factor -4.Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve: Simplifying ab = 0 Solving ab = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab = 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 '(1 + c2)' equal to zero and attempt to solve: Simplifying 1 + c2 = 0 Solving 1 + c2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + c2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + c2 = 0 + -1 c2 = 0 + -1 Combine like terms: 0 + -1 = -1 c2 = -1 Add '-1c2' to each side of the equation. c2 + -1c2 = -1 + -1c2 Combine like terms: c2 + -1c2 = 0 0 = -1 + -1c2 Simplifying 0 = -1 + -1c2 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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