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Simplifying c(x + -1y) + -1d(y + -1x) = 0 (x * c + -1y * c) + -1d(y + -1x) = 0 (cx + -1cy) + -1d(y + -1x) = 0 Reorder the terms: cx + -1cy + -1d(-1x + y) = 0 cx + -1cy + (-1x * -1d + y * -1d) = 0 cx + -1cy + (1dx + -1dy) = 0 Solving cx + -1cy + 1dx + -1dy = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1dx' to each side of the equation. cx + -1cy + 1dx + -1dx + -1dy = 0 + -1dx Combine like terms: 1dx + -1dx = 0 cx + -1cy + 0 + -1dy = 0 + -1dx cx + -1cy + -1dy = 0 + -1dx Remove the zero: cx + -1cy + -1dy = -1dx Add 'dy' to each side of the equation. cx + -1cy + -1dy + dy = -1dx + dy Combine like terms: -1dy + dy = 0 cx + -1cy + 0 = -1dx + dy cx + -1cy = -1dx + dy Reorder the terms: cx + -1cy + dx + -1dy = -1dx + dx + dy + -1dy Combine like terms: -1dx + dx = 0 cx + -1cy + dx + -1dy = 0 + dy + -1dy cx + -1cy + dx + -1dy = dy + -1dy Combine like terms: dy + -1dy = 0 cx + -1cy + dx + -1dy = 0 The solution to this equation could not be determined.
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