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Simplifying x6 + -7x2 + sqrt(6) = 0 Reorder the terms for easier multiplication: x6 + -7x2 + 6qrst = 0 Reorder the terms: 6qrst + -7x2 + x6 = 0 Solving 6qrst + -7x2 + x6 = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '7x2' to each side of the equation. 6qrst + -7x2 + 7x2 + x6 = 0 + 7x2 Combine like terms: -7x2 + 7x2 = 0 6qrst + 0 + x6 = 0 + 7x2 6qrst + x6 = 0 + 7x2 Remove the zero: 6qrst + x6 = 7x2 Add '-1x6' to each side of the equation. 6qrst + x6 + -1x6 = 7x2 + -1x6 Combine like terms: x6 + -1x6 = 0 6qrst + 0 = 7x2 + -1x6 6qrst = 7x2 + -1x6 Divide each side by '6rst'. q = 1.166666667r-1s-1t-1x2 + -0.1666666667r-1s-1t-1x6 Simplifying q = 1.166666667r-1s-1t-1x2 + -0.1666666667r-1s-1t-1x6
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