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Simplifying 12ab + -28bc + 20ac = 0 Reorder the terms: 12ab + 20ac + -28bc = 0 Solving 12ab + 20ac + -28bc = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '28bc' to each side of the equation. 12ab + 20ac + -28bc + 28bc = 0 + 28bc Combine like terms: -28bc + 28bc = 0 12ab + 20ac + 0 = 0 + 28bc 12ab + 20ac = 0 + 28bc Remove the zero: 12ab + 20ac = 28bc Combine like terms: 28bc + -28bc = 0 12ab + 20ac + -28bc = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(3ab + 5ac + -7bc) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(3ab + 5ac + -7bc)' equal to zero and attempt to solve: Simplifying 3ab + 5ac + -7bc = 0 Solving 3ab + 5ac + -7bc = 0 Move all terms containing a to the left, all other terms to the right. Add '7bc' to each side of the equation. 3ab + 5ac + -7bc + 7bc = 0 + 7bc Combine like terms: -7bc + 7bc = 0 3ab + 5ac + 0 = 0 + 7bc 3ab + 5ac = 0 + 7bc Remove the zero: 3ab + 5ac = 7bc 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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