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Simplifying (a + -1b)(-1c + d) = 0 Multiply (a + -1b) * (-1c + d) (a(-1c + d) + -1b * (-1c + d)) = 0 ((-1c * a + d * a) + -1b * (-1c + d)) = 0 ((-1ac + ad) + -1b * (-1c + d)) = 0 (-1ac + ad + (-1c * -1b + d * -1b)) = 0 (-1ac + ad + (1bc + -1bd)) = 0 (-1ac + ad + 1bc + -1bd) = 0 Solving -1ac + ad + 1bc + -1bd = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1bc' to each side of the equation. -1ac + ad + 1bc + -1bc + -1bd = 0 + -1bc Combine like terms: 1bc + -1bc = 0 -1ac + ad + 0 + -1bd = 0 + -1bc -1ac + ad + -1bd = 0 + -1bc Remove the zero: -1ac + ad + -1bd = -1bc Add 'bd' to each side of the equation. -1ac + ad + -1bd + bd = -1bc + bd Combine like terms: -1bd + bd = 0 -1ac + ad + 0 = -1bc + bd -1ac + ad = -1bc + bd Reorder the terms: -1ac + ad + bc + -1bd = -1bc + bc + bd + -1bd Combine like terms: -1bc + bc = 0 -1ac + ad + bc + -1bd = 0 + bd + -1bd -1ac + ad + bc + -1bd = bd + -1bd Combine like terms: bd + -1bd = 0 -1ac + ad + bc + -1bd = 0 The solution to this equation could not be determined.
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