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Simplifying sqrt(t4 + 2t2 + 1) = 0 Reorder the terms: qrst(1 + 2t2 + t4) = 0 (1 * qrst + 2t2 * qrst + t4 * qrst) = 0 (1qrst + 2qrst3 + qrst5) = 0 Solving 1qrst + 2qrst3 + qrst5 = 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(1 + 2t2 + t4) = 0 Factor a trinomial. qrst((1 + t2)(1 + t2)) = 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 '(1 + t2)' equal to zero and attempt to solve: Simplifying 1 + t2 = 0 Solving 1 + t2 = 0 Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + t2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + t2 = 0 + -1 t2 = 0 + -1 Combine like terms: 0 + -1 = -1 t2 = -1 Add '-1t2' to each side of the equation. t2 + -1t2 = -1 + -1t2 Combine like terms: t2 + -1t2 = 0 0 = -1 + -1t2 Simplifying 0 = -1 + -1t2 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 '(1 + t2)' equal to zero and attempt to solve: Simplifying 1 + t2 = 0 Solving 1 + t2 = 0 Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + t2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + t2 = 0 + -1 t2 = 0 + -1 Combine like terms: 0 + -1 = -1 t2 = -1 Add '-1t2' to each side of the equation. t2 + -1t2 = -1 + -1t2 Combine like terms: t2 + -1t2 = 0 0 = -1 + -1t2 Simplifying 0 = -1 + -1t2 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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