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Simplifying 12 = 33.755t2 + -1078.02t + 40376.569 Reorder the terms: 12 = 40376.569 + -1078.02t + 33.755t2 Solving 12 = 40376.569 + -1078.02t + 33.755t2 Solving for variable 't'. Combine like terms: 12 + -40376.569 = -40364.569 -40364.569 + 1078.02t + -33.755t2 = 40376.569 + -1078.02t + 33.755t2 + -40376.569 + 1078.02t + -33.755t2 Reorder the terms: -40364.569 + 1078.02t + -33.755t2 = 40376.569 + -40376.569 + -1078.02t + 1078.02t + 33.755t2 + -33.755t2 Combine like terms: 40376.569 + -40376.569 = 0.000 -40364.569 + 1078.02t + -33.755t2 = 0.000 + -1078.02t + 1078.02t + 33.755t2 + -33.755t2 -40364.569 + 1078.02t + -33.755t2 = -1078.02t + 1078.02t + 33.755t2 + -33.755t2 Combine like terms: -1078.02t + 1078.02t = 0.00 -40364.569 + 1078.02t + -33.755t2 = 0.00 + 33.755t2 + -33.755t2 -40364.569 + 1078.02t + -33.755t2 = 33.755t2 + -33.755t2 Combine like terms: 33.755t2 + -33.755t2 = 0.000 -40364.569 + 1078.02t + -33.755t2 = 0.000 Begin completing the square. Divide all terms by -33.755 the coefficient of the squared term: Divide each side by '-33.755'. 1195.810073 + -31.93660198t + t2 = 0 Move the constant term to the right: Add '-1195.810073' to each side of the equation. 1195.810073 + -31.93660198t + -1195.810073 + t2 = 0 + -1195.810073 Reorder the terms: 1195.810073 + -1195.810073 + -31.93660198t + t2 = 0 + -1195.810073 Combine like terms: 1195.810073 + -1195.810073 = 0.000000 0.000000 + -31.93660198t + t2 = 0 + -1195.810073 -31.93660198t + t2 = 0 + -1195.810073 Combine like terms: 0 + -1195.810073 = -1195.810073 -31.93660198t + t2 = -1195.810073 The t term is -31.93660198t. Take half its coefficient (-15.96830099). Square it (254.9866365) and add it to both sides. Add '254.9866365' to each side of the equation. -31.93660198t + 254.9866365 + t2 = -1195.810073 + 254.9866365 Reorder the terms: 254.9866365 + -31.93660198t + t2 = -1195.810073 + 254.9866365 Combine like terms: -1195.810073 + 254.9866365 = -940.8234365 254.9866365 + -31.93660198t + t2 = -940.8234365 Factor a perfect square on the left side: (t + -15.96830099)(t + -15.96830099) = -940.8234365 Can't calculate square root of the right side. The solution to this equation could not be determined.
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