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Simplifying 4xy + -1xyc + 16x + -4xc = 0 Reorder the terms: -4cx + -1cxy + 16x + 4xy = 0 Solving -4cx + -1cxy + 16x + 4xy = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-16x' to each side of the equation. -4cx + -1cxy + 16x + -16x + 4xy = 0 + -16x Combine like terms: 16x + -16x = 0 -4cx + -1cxy + 0 + 4xy = 0 + -16x -4cx + -1cxy + 4xy = 0 + -16x Remove the zero: -4cx + -1cxy + 4xy = -16x Add '-4xy' to each side of the equation. -4cx + -1cxy + 4xy + -4xy = -16x + -4xy Combine like terms: 4xy + -4xy = 0 -4cx + -1cxy + 0 = -16x + -4xy -4cx + -1cxy = -16x + -4xy Reorder the terms: -4cx + -1cxy + 16x + 4xy = -16x + 16x + -4xy + 4xy Combine like terms: -16x + 16x = 0 -4cx + -1cxy + 16x + 4xy = 0 + -4xy + 4xy -4cx + -1cxy + 16x + 4xy = -4xy + 4xy Combine like terms: -4xy + 4xy = 0 -4cx + -1cxy + 16x + 4xy = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-4c + -1cy + 16 + 4y) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing c to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(-4c + -1cy + 16 + 4y)' equal to zero and attempt to solve: Simplifying -4c + -1cy + 16 + 4y = 0 Reorder the terms: 16 + -4c + -1cy + 4y = 0 Solving 16 + -4c + -1cy + 4y = 0 Move all terms containing c to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -4c + -1cy + -16 + 4y = 0 + -16 Reorder the terms: 16 + -16 + -4c + -1cy + 4y = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -4c + -1cy + 4y = 0 + -16 -4c + -1cy + 4y = 0 + -16 Combine like terms: 0 + -16 = -16 -4c + -1cy + 4y = -16 Add '-4y' to each side of the equation. -4c + -1cy + 4y + -4y = -16 + -4y Combine like terms: 4y + -4y = 0 -4c + -1cy + 0 = -16 + -4y -4c + -1cy = -16 + -4y 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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