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