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