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Simplifying x4 + -12x3 + 45x2 + -54x + -9sqrt(2) + -2 = 0 Reorder the terms for easier multiplication: x4 + -12x3 + 45x2 + -54x + -9 * 2qrst + -2 = 0 Multiply -9 * 2 x4 + -12x3 + 45x2 + -54x + -18qrst + -2 = 0 Reorder the terms: -2 + -18qrst + -54x + 45x2 + -12x3 + x4 = 0 Solving -2 + -18qrst + -54x + 45x2 + -12x3 + x4 = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -18qrst + -54x + 45x2 + -12x3 + 2 + x4 = 0 + 2 Reorder the terms: -2 + 2 + -18qrst + -54x + 45x2 + -12x3 + x4 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -18qrst + -54x + 45x2 + -12x3 + x4 = 0 + 2 -18qrst + -54x + 45x2 + -12x3 + x4 = 0 + 2 Combine like terms: 0 + 2 = 2 -18qrst + -54x + 45x2 + -12x3 + x4 = 2 Add '54x' to each side of the equation. -18qrst + -54x + 45x2 + -12x3 + 54x + x4 = 2 + 54x Reorder the terms: -18qrst + -54x + 54x + 45x2 + -12x3 + x4 = 2 + 54x Combine like terms: -54x + 54x = 0 -18qrst + 0 + 45x2 + -12x3 + x4 = 2 + 54x -18qrst + 45x2 + -12x3 + x4 = 2 + 54x Add '-45x2' to each side of the equation. -18qrst + 45x2 + -12x3 + -45x2 + x4 = 2 + 54x + -45x2 Reorder the terms: -18qrst + 45x2 + -45x2 + -12x3 + x4 = 2 + 54x + -45x2 Combine like terms: 45x2 + -45x2 = 0 -18qrst + 0 + -12x3 + x4 = 2 + 54x + -45x2 -18qrst + -12x3 + x4 = 2 + 54x + -45x2 Add '12x3' to each side of the equation. -18qrst + -12x3 + 12x3 + x4 = 2 + 54x + -45x2 + 12x3 Combine like terms: -12x3 + 12x3 = 0 -18qrst + 0 + x4 = 2 + 54x + -45x2 + 12x3 -18qrst + x4 = 2 + 54x + -45x2 + 12x3 Add '-1x4' to each side of the equation. -18qrst + x4 + -1x4 = 2 + 54x + -45x2 + 12x3 + -1x4 Combine like terms: x4 + -1x4 = 0 -18qrst + 0 = 2 + 54x + -45x2 + 12x3 + -1x4 -18qrst = 2 + 54x + -45x2 + 12x3 + -1x4 Divide each side by '-18rst'. q = -0.1111111111r-1s-1t-1 + -3r-1s-1t-1x + 2.5r-1s-1t-1x2 + -0.6666666667r-1s-1t-1x3 + 0.05555555556r-1s-1t-1x4 Simplifying q = -0.1111111111r-1s-1t-1 + -3r-1s-1t-1x + 2.5r-1s-1t-1x2 + -0.6666666667r-1s-1t-1x3 + 0.05555555556r-1s-1t-1x4
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