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Simplifying t = sqrt(3y2 + -5) Reorder the terms: t = qrst(-5 + 3y2) t = (-5 * qrst + 3y2 * qrst) t = (-5qrst + 3qrsty2) Solving t = -5qrst + 3qrsty2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5qrst' to each side of the equation. 5qrst + t = -5qrst + 5qrst + 3qrsty2 Combine like terms: -5qrst + 5qrst = 0 5qrst + t = 0 + 3qrsty2 5qrst + t = 3qrsty2 Add '-3qrsty2' to each side of the equation. 5qrst + -3qrsty2 + t = 3qrsty2 + -3qrsty2 Combine like terms: 3qrsty2 + -3qrsty2 = 0 5qrst + -3qrsty2 + t = 0 Factor out the Greatest Common Factor (GCF), 't'. t(5qrs + -3qrsy2 + 1) = 0Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0Subproblem 2
Set the factor '(5qrs + -3qrsy2 + 1)' equal to zero and attempt to solve: Simplifying 5qrs + -3qrsy2 + 1 = 0 Reorder the terms: 1 + 5qrs + -3qrsy2 = 0 Solving 1 + 5qrs + -3qrsy2 = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 5qrs + -1 + -3qrsy2 = 0 + -1 Reorder the terms: 1 + -1 + 5qrs + -3qrsy2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5qrs + -3qrsy2 = 0 + -1 5qrs + -3qrsy2 = 0 + -1 Combine like terms: 0 + -1 = -1 5qrs + -3qrsy2 = -1 Add '-5qrs' to each side of the equation. 5qrs + -5qrs + -3qrsy2 = -1 + -5qrs Combine like terms: 5qrs + -5qrs = 0 0 + -3qrsy2 = -1 + -5qrs -3qrsy2 = -1 + -5qrs Add '3qrsy2' to each side of the equation. -3qrsy2 + 3qrsy2 = -1 + -5qrs + 3qrsy2 Combine like terms: -3qrsy2 + 3qrsy2 = 0 0 = -1 + -5qrs + 3qrsy2 Simplifying 0 = -1 + -5qrs + 3qrsy2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
t = {0}
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