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Simplifying sqrt(6w + 9) = sqrt(8w + -11) Reorder the terms: qrst(9 + 6w) = sqrt(8w + -11) (9 * qrst + 6w * qrst) = sqrt(8w + -11) (9qrst + 6qrstw) = sqrt(8w + -11) Reorder the terms: 9qrst + 6qrstw = qrst(-11 + 8w) 9qrst + 6qrstw = (-11 * qrst + 8w * qrst) 9qrst + 6qrstw = (-11qrst + 8qrstw) Solving 9qrst + 6qrstw = -11qrst + 8qrstw Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '11qrst' to each side of the equation. 9qrst + 11qrst + 6qrstw = -11qrst + 11qrst + 8qrstw Combine like terms: 9qrst + 11qrst = 20qrst 20qrst + 6qrstw = -11qrst + 11qrst + 8qrstw Combine like terms: -11qrst + 11qrst = 0 20qrst + 6qrstw = 0 + 8qrstw 20qrst + 6qrstw = 8qrstw Add '-8qrstw' to each side of the equation. 20qrst + 6qrstw + -8qrstw = 8qrstw + -8qrstw Combine like terms: 6qrstw + -8qrstw = -2qrstw 20qrst + -2qrstw = 8qrstw + -8qrstw Combine like terms: 8qrstw + -8qrstw = 0 20qrst + -2qrstw = 0 Factor out the Greatest Common Factor (GCF), '2qrst'. 2qrst(10 + -1w) = 0 Ignore the factor 2.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 '(10 + -1w)' equal to zero and attempt to solve: Simplifying 10 + -1w = 0 Solving 10 + -1w = 0 Move all terms containing q to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1w = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1w = 0 + -10 -1w = 0 + -10 Combine like terms: 0 + -10 = -10 -1w = -10 Add 'w' to each side of the equation. -1w + w = -10 + w Combine like terms: -1w + w = 0 0 = -10 + w Simplifying 0 = -10 + w 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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