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Simplifying 40ab + 45bc + 15ac = 0 Reorder the terms: 40ab + 15ac + 45bc = 0 Solving 40ab + 15ac + 45bc = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-45bc' to each side of the equation. 40ab + 15ac + 45bc + -45bc = 0 + -45bc Combine like terms: 45bc + -45bc = 0 40ab + 15ac + 0 = 0 + -45bc 40ab + 15ac = 0 + -45bc Remove the zero: 40ab + 15ac = -45bc Combine like terms: -45bc + 45bc = 0 40ab + 15ac + 45bc = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(8ab + 3ac + 9bc) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(8ab + 3ac + 9bc)' equal to zero and attempt to solve: Simplifying 8ab + 3ac + 9bc = 0 Solving 8ab + 3ac + 9bc = 0 Move all terms containing a to the left, all other terms to the right. Add '-9bc' to each side of the equation. 8ab + 3ac + 9bc + -9bc = 0 + -9bc Combine like terms: 9bc + -9bc = 0 8ab + 3ac + 0 = 0 + -9bc 8ab + 3ac = 0 + -9bc Remove the zero: 8ab + 3ac = -9bc 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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