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Simplifying x2 + -2x + 4sqrt(2) + -8 = 0 Reorder the terms for easier multiplication: x2 + -2x + 4 * 2qrst + -8 = 0 Multiply 4 * 2 x2 + -2x + 8qrst + -8 = 0 Reorder the terms: -8 + 8qrst + -2x + x2 = 0 Solving -8 + 8qrst + -2x + x2 = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8qrst + -2x + 8 + x2 = 0 + 8 Reorder the terms: -8 + 8 + 8qrst + -2x + x2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 8qrst + -2x + x2 = 0 + 8 8qrst + -2x + x2 = 0 + 8 Combine like terms: 0 + 8 = 8 8qrst + -2x + x2 = 8 Add '2x' to each side of the equation. 8qrst + -2x + 2x + x2 = 8 + 2x Combine like terms: -2x + 2x = 0 8qrst + 0 + x2 = 8 + 2x 8qrst + x2 = 8 + 2x Add '-1x2' to each side of the equation. 8qrst + x2 + -1x2 = 8 + 2x + -1x2 Combine like terms: x2 + -1x2 = 0 8qrst + 0 = 8 + 2x + -1x2 8qrst = 8 + 2x + -1x2 Divide each side by '8rst'. q = r-1s-1t-1 + 0.25r-1s-1t-1x + -0.125r-1s-1t-1x2 Simplifying q = r-1s-1t-1 + 0.25r-1s-1t-1x + -0.125r-1s-1t-1x2
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