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Simplifying (2 + q)(2 + -1r) = 0 Multiply (2 + q) * (2 + -1r) (2(2 + -1r) + q(2 + -1r)) = 0 ((2 * 2 + -1r * 2) + q(2 + -1r)) = 0 ((4 + -2r) + q(2 + -1r)) = 0 (4 + -2r + (2 * q + -1r * q)) = 0 (4 + -2r + (2q + -1qr)) = 0 Reorder the terms: (4 + 2q + -1qr + -2r) = 0 (4 + 2q + -1qr + -2r) = 0 Solving 4 + 2q + -1qr + -2r = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 2q + -1qr + -4 + -2r = 0 + -4 Reorder the terms: 4 + -4 + 2q + -1qr + -2r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2q + -1qr + -2r = 0 + -4 2q + -1qr + -2r = 0 + -4 Combine like terms: 0 + -4 = -4 2q + -1qr + -2r = -4 Add '2r' to each side of the equation. 2q + -1qr + -2r + 2r = -4 + 2r Combine like terms: -2r + 2r = 0 2q + -1qr + 0 = -4 + 2r 2q + -1qr = -4 + 2r Reorder the terms: 4 + 2q + -1qr + -2r = -4 + 2r + 4 + -2r Reorder the terms: 4 + 2q + -1qr + -2r = -4 + 4 + 2r + -2r Combine like terms: -4 + 4 = 0 4 + 2q + -1qr + -2r = 0 + 2r + -2r 4 + 2q + -1qr + -2r = 2r + -2r Combine like terms: 2r + -2r = 0 4 + 2q + -1qr + -2r = 0 The solution to this equation could not be determined.
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