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Simplifying 5 = sqrt + -16 + (y + -1)(y + -1) Reorder the terms: 5 = qrst + -16 + (-1 + y)(y + -1) Reorder the terms: 5 = qrst + -16 + (-1 + y)(-1 + y) Multiply (-1 + y) * (-1 + y) 5 = qrst + -16 + (-1(-1 + y) + y(-1 + y)) 5 = qrst + -16 + ((-1 * -1 + y * -1) + y(-1 + y)) 5 = qrst + -16 + ((1 + -1y) + y(-1 + y)) 5 = qrst + -16 + (1 + -1y + (-1 * y + y * y)) 5 = qrst + -16 + (1 + -1y + (-1y + y2)) Combine like terms: -1y + -1y = -2y 5 = qrst + -16 + (1 + -2y + y2) Reorder the terms: 5 = -16 + 1 + qrst + -2y + y2 Combine like terms: -16 + 1 = -15 5 = -15 + qrst + -2y + y2 Solving 5 = -15 + qrst + -2y + y2 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1qrst' to each side of the equation. 5 + -1qrst = -15 + qrst + -2y + -1qrst + y2 Reorder the terms: 5 + -1qrst = -15 + qrst + -1qrst + -2y + y2 Combine like terms: qrst + -1qrst = 0 5 + -1qrst = -15 + 0 + -2y + y2 5 + -1qrst = -15 + -2y + y2 Add '-5' to each side of the equation. 5 + -5 + -1qrst = -15 + -2y + -5 + y2 Combine like terms: 5 + -5 = 0 0 + -1qrst = -15 + -2y + -5 + y2 -1qrst = -15 + -2y + -5 + y2 Reorder the terms: -1qrst = -15 + -5 + -2y + y2 Combine like terms: -15 + -5 = -20 -1qrst = -20 + -2y + y2 Divide each side by '-1rst'. q = 20r-1s-1t-1 + 2r-1s-1t-1y + -1r-1s-1t-1y2 Simplifying q = 20r-1s-1t-1 + 2r-1s-1t-1y + -1r-1s-1t-1y2
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