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Simplifying 6sqrt(t) = sqrt(3t + 6) Multiply qrst * t 6qrst2 = sqrt(3t + 6) Reorder the terms: 6qrst2 = qrst(6 + 3t) 6qrst2 = (6 * qrst + 3t * qrst) 6qrst2 = (6qrst + 3qrst2) Solving 6qrst2 = 6qrst + 3qrst2 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6qrst' to each side of the equation. -6qrst + 6qrst2 = 6qrst + -6qrst + 3qrst2 Combine like terms: 6qrst + -6qrst = 0 -6qrst + 6qrst2 = 0 + 3qrst2 -6qrst + 6qrst2 = 3qrst2 Add '-3qrst2' to each side of the equation. -6qrst + 6qrst2 + -3qrst2 = 3qrst2 + -3qrst2 Combine like terms: 6qrst2 + -3qrst2 = 3qrst2 -6qrst + 3qrst2 = 3qrst2 + -3qrst2 Combine like terms: 3qrst2 + -3qrst2 = 0 -6qrst + 3qrst2 = 0 Factor out the Greatest Common Factor (GCF), '3qrst'. 3qrst(-2 + t) = 0 Ignore the factor 3.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 '(-2 + t)' equal to zero and attempt to solve: Simplifying -2 + t = 0 Solving -2 + t = 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 + t = 0 + 2 Combine like terms: -2 + 2 = 0 0 + t = 0 + 2 t = 0 + 2 Combine like terms: 0 + 2 = 2 t = 2 Add '-1t' to each side of the equation. t + -1t = 2 + -1t Combine like terms: t + -1t = 0 0 = 2 + -1t Simplifying 0 = 2 + -1t 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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