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Simplifying 4 + 6a(c + 2b) + 2ac = 0 Reorder the terms: 4 + 6a(2b + c) + 2ac = 0 4 + (2b * 6a + c * 6a) + 2ac = 0 4 + (12ab + 6ac) + 2ac = 0 Combine like terms: 6ac + 2ac = 8ac 4 + 12ab + 8ac = 0 Solving 4 + 12ab + 8ac = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 12ab + -4 + 8ac = 0 + -4 Reorder the terms: 4 + -4 + 12ab + 8ac = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 12ab + 8ac = 0 + -4 12ab + 8ac = 0 + -4 Combine like terms: 0 + -4 = -4 12ab + 8ac = -4 Reorder the terms: 4 + 12ab + 8ac = -4 + 4 Combine like terms: -4 + 4 = 0 4 + 12ab + 8ac = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(1 + 3ab + 2ac) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + 3ab + 2ac)' equal to zero and attempt to solve: Simplifying 1 + 3ab + 2ac = 0 Solving 1 + 3ab + 2ac = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3ab + -1 + 2ac = 0 + -1 Reorder the terms: 1 + -1 + 3ab + 2ac = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3ab + 2ac = 0 + -1 3ab + 2ac = 0 + -1 Combine like terms: 0 + -1 = -1 3ab + 2ac = -1 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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