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Simplifying (ax + -1p)(bx + -1q) = 0 Multiply (ax + -1p) * (bx + -1q) (ax(bx + -1q) + -1p * (bx + -1q)) = 0 ((bx * ax + -1q * ax) + -1p * (bx + -1q)) = 0 ((abx2 + -1aqx) + -1p * (bx + -1q)) = 0 (abx2 + -1aqx + (bx * -1p + -1q * -1p)) = 0 (abx2 + -1aqx + (-1bpx + 1pq)) = 0 (abx2 + -1aqx + -1bpx + 1pq) = 0 Solving abx2 + -1aqx + -1bpx + 1pq = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'bpx' to each side of the equation. abx2 + -1aqx + -1bpx + bpx + 1pq = 0 + bpx Combine like terms: -1bpx + bpx = 0 abx2 + -1aqx + 0 + 1pq = 0 + bpx abx2 + -1aqx + 1pq = 0 + bpx Remove the zero: abx2 + -1aqx + 1pq = bpx Add '-1pq' to each side of the equation. abx2 + -1aqx + 1pq + -1pq = bpx + -1pq Combine like terms: 1pq + -1pq = 0 abx2 + -1aqx + 0 = bpx + -1pq abx2 + -1aqx = bpx + -1pq Reorder the terms: abx2 + -1aqx + -1bpx + pq = bpx + -1bpx + -1pq + pq Combine like terms: bpx + -1bpx = 0 abx2 + -1aqx + -1bpx + pq = 0 + -1pq + pq abx2 + -1aqx + -1bpx + pq = -1pq + pq Combine like terms: -1pq + pq = 0 abx2 + -1aqx + -1bpx + pq = 0 The solution to this equation could not be determined.
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