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Simplifying sqrt(x2 + -8) + -1sqrt(6x + 8) = 0 Reorder the terms: qrst(-8 + x2) + -1sqrt(6x + 8) = 0 (-8 * qrst + x2 * qrst) + -1sqrt(6x + 8) = 0 (-8qrst + qrstx2) + -1sqrt(6x + 8) = 0 Reorder the terms: -8qrst + qrstx2 + -1qrst(8 + 6x) = 0 -8qrst + qrstx2 + (8 * -1qrst + 6x * -1qrst) = 0 -8qrst + qrstx2 + (-8qrst + -6qrstx) = 0 Reorder the terms: -8qrst + -8qrst + -6qrstx + qrstx2 = 0 Combine like terms: -8qrst + -8qrst = -16qrst -16qrst + -6qrstx + qrstx2 = 0 Solving -16qrst + -6qrstx + qrstx2 = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'qrst'. qrst(-16 + -6x + x2) = 0 Factor a trinomial. qrst((-2 + -1x)(8 + -1x)) = 0Subproblem 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 '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing q to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Add 'x' to each side of the equation. -1x + x = 2 + x Combine like terms: -1x + x = 0 0 = 2 + x Simplifying 0 = 2 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing q to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Add 'x' to each side of the equation. -1x + x = -8 + x Combine like terms: -1x + x = 0 0 = -8 + x Simplifying 0 = -8 + x 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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