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Simplifying sqrt(77 + -4t) = t (77 * qrst + -4t * qrst) = t (77qrst + -4qrst2) = t Solving 77qrst + -4qrst2 = t Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Combine like terms: t + -1t = 0 77qrst + -4qrst2 + -1t = 0 Factor out the Greatest Common Factor (GCF), 't'. t(77qrs + -4qrst + -1) = 0Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing q to the left, all other terms to the right. Add '-1t' to each side of the equation. t + -1t = 0 + -1t Remove the zero: 0 = -1t Simplifying 0 = -1t 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 '(77qrs + -4qrst + -1)' equal to zero and attempt to solve: Simplifying 77qrs + -4qrst + -1 = 0 Reorder the terms: -1 + 77qrs + -4qrst = 0 Solving -1 + 77qrs + -4qrst = 0 Move all terms containing q to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 77qrs + 1 + -4qrst = 0 + 1 Reorder the terms: -1 + 1 + 77qrs + -4qrst = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 77qrs + -4qrst = 0 + 1 77qrs + -4qrst = 0 + 1 Combine like terms: 0 + 1 = 1 77qrs + -4qrst = 1 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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