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Simplifying 0 = sqrt(16x6 + 8t3 + 1) Reorder the terms: 0 = qrst(1 + 8t3 + 16x6) 0 = (1 * qrst + 8t3 * qrst + 16x6 * qrst) Reorder the terms: 0 = (1qrst + 16qrstx6 + 8qrst4) 0 = (1qrst + 16qrstx6 + 8qrst4) Solving 0 = 1qrst + 16qrstx6 + 8qrst4 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. 0 + -1qrst = 1qrst + 16qrstx6 + -1qrst + 8qrst4 Remove the zero: -1qrst = 1qrst + 16qrstx6 + -1qrst + 8qrst4 Reorder the terms: -1qrst = 1qrst + -1qrst + 16qrstx6 + 8qrst4 Combine like terms: 1qrst + -1qrst = 0 -1qrst = 0 + 16qrstx6 + 8qrst4 -1qrst = 16qrstx6 + 8qrst4 Add '-16qrstx6' to each side of the equation. -1qrst + -16qrstx6 = 16qrstx6 + -16qrstx6 + 8qrst4 Combine like terms: 16qrstx6 + -16qrstx6 = 0 -1qrst + -16qrstx6 = 0 + 8qrst4 -1qrst + -16qrstx6 = 8qrst4 Add '-8qrst4' to each side of the equation. -1qrst + -16qrstx6 + -8qrst4 = 8qrst4 + -8qrst4 Combine like terms: 8qrst4 + -8qrst4 = 0 -1qrst + -16qrstx6 + -8qrst4 = 0 Factor out the Greatest Common Factor (GCF), '-1qrst'. -1qrst(1 + 16x6 + 8t3) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'qrst' equal to zero and attempt to solve: Simplifying qrst = 0 Solving qrst = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qrst = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + 16x6 + 8t3)' equal to zero and attempt to solve: Simplifying 1 + 16x6 + 8t3 = 0 Reorder the terms: 1 + 8t3 + 16x6 = 0 Solving 1 + 8t3 + 16x6 = 0 Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 8t3 + -1 + 16x6 = 0 + -1 Reorder the terms: 1 + -1 + 8t3 + 16x6 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8t3 + 16x6 = 0 + -1 8t3 + 16x6 = 0 + -1 Combine like terms: 0 + -1 = -1 8t3 + 16x6 = -1 Add '-8t3' to each side of the equation. 8t3 + -8t3 + 16x6 = -1 + -8t3 Combine like terms: 8t3 + -8t3 = 0 0 + 16x6 = -1 + -8t3 16x6 = -1 + -8t3 Add '-16x6' to each side of the equation. 16x6 + -16x6 = -1 + -8t3 + -16x6 Combine like terms: 16x6 + -16x6 = 0 0 = -1 + -8t3 + -16x6 Simplifying 0 = -1 + -8t3 + -16x6 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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