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Simplifying x2 + y2 + 2x + -2ysqrt(15) + 7 = 0 Reorder the terms for easier multiplication: x2 + y2 + 2x + -2 * 15qrsty + 7 = 0 Multiply -2 * 15 x2 + y2 + 2x + -30qrsty + 7 = 0 Reorder the terms: 7 + -30qrsty + 2x + x2 + y2 = 0 Solving 7 + -30qrsty + 2x + x2 + y2 = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -30qrsty + 2x + x2 + -7 + y2 = 0 + -7 Reorder the terms: 7 + -7 + -30qrsty + 2x + x2 + y2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -30qrsty + 2x + x2 + y2 = 0 + -7 -30qrsty + 2x + x2 + y2 = 0 + -7 Combine like terms: 0 + -7 = -7 -30qrsty + 2x + x2 + y2 = -7 Add '-2x' to each side of the equation. -30qrsty + 2x + x2 + -2x + y2 = -7 + -2x Reorder the terms: -30qrsty + 2x + -2x + x2 + y2 = -7 + -2x Combine like terms: 2x + -2x = 0 -30qrsty + 0 + x2 + y2 = -7 + -2x -30qrsty + x2 + y2 = -7 + -2x Add '-1x2' to each side of the equation. -30qrsty + x2 + -1x2 + y2 = -7 + -2x + -1x2 Combine like terms: x2 + -1x2 = 0 -30qrsty + 0 + y2 = -7 + -2x + -1x2 -30qrsty + y2 = -7 + -2x + -1x2 Add '-1y2' to each side of the equation. -30qrsty + y2 + -1y2 = -7 + -2x + -1x2 + -1y2 Combine like terms: y2 + -1y2 = 0 -30qrsty + 0 = -7 + -2x + -1x2 + -1y2 -30qrsty = -7 + -2x + -1x2 + -1y2 Divide each side by '-30rsty'. q = 0.2333333333r-1s-1t-1y-1 + 0.06666666667r-1s-1t-1xy-1 + 0.03333333333r-1s-1t-1x2y-1 + 0.03333333333r-1s-1t-1y Simplifying q = 0.2333333333r-1s-1t-1y-1 + 0.06666666667r-1s-1t-1xy-1 + 0.03333333333r-1s-1t-1x2y-1 + 0.03333333333r-1s-1t-1y Reorder the terms: q = 0.06666666667r-1s-1t-1xy-1 + 0.03333333333r-1s-1t-1x2y-1 + 0.2333333333r-1s-1t-1y-1 + 0.03333333333r-1s-1t-1y
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