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Simplifying (1 + y) * p + (1 + x) * q = z Reorder the terms for easier multiplication: p(1 + y) + (1 + x) * q = z (1 * p + y * p) + (1 + x) * q = z (1p + py) + (1 + x) * q = z Reorder the terms for easier multiplication: 1p + py + q(1 + x) = z 1p + py + (1 * q + x * q) = z 1p + py + (1q + qx) = z Solving 1p + py + 1q + qx = z Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1q' to each side of the equation. 1p + py + 1q + -1q + qx = -1q + z Combine like terms: 1q + -1q = 0 1p + py + 0 + qx = -1q + z 1p + py + qx = -1q + z Add '-1qx' to each side of the equation. 1p + py + qx + -1qx = -1q + -1qx + z Combine like terms: qx + -1qx = 0 1p + py + 0 = -1q + -1qx + z 1p + py = -1q + -1qx + z Reorder the terms: 1p + py + q + qx + -1z = -1q + q + -1qx + qx + z + -1z Combine like terms: -1q + q = 0 1p + py + q + qx + -1z = 0 + -1qx + qx + z + -1z 1p + py + q + qx + -1z = -1qx + qx + z + -1z Combine like terms: -1qx + qx = 0 1p + py + q + qx + -1z = 0 + z + -1z 1p + py + q + qx + -1z = z + -1z Combine like terms: z + -1z = 0 1p + py + q + qx + -1z = 0 The solution to this equation could not be determined.
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