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Simplifying 150 = 3.1t + -0.14t2 Solving 150 = 3.1t + -0.14t2 Solving for variable 't'. Reorder the terms: 150 + -3.1t + 0.14t2 = 3.1t + -3.1t + -0.14t2 + 0.14t2 Combine like terms: 3.1t + -3.1t = 0.0 150 + -3.1t + 0.14t2 = 0.0 + -0.14t2 + 0.14t2 150 + -3.1t + 0.14t2 = -0.14t2 + 0.14t2 Combine like terms: -0.14t2 + 0.14t2 = 0.00 150 + -3.1t + 0.14t2 = 0.00 Begin completing the square. Divide all terms by 0.14 the coefficient of the squared term: Divide each side by '0.14'. 1071.428571 + -22.14285714t + t2 = 0 Move the constant term to the right: Add '-1071.428571' to each side of the equation. 1071.428571 + -22.14285714t + -1071.428571 + t2 = 0 + -1071.428571 Reorder the terms: 1071.428571 + -1071.428571 + -22.14285714t + t2 = 0 + -1071.428571 Combine like terms: 1071.428571 + -1071.428571 = 0.000000 0.000000 + -22.14285714t + t2 = 0 + -1071.428571 -22.14285714t + t2 = 0 + -1071.428571 Combine like terms: 0 + -1071.428571 = -1071.428571 -22.14285714t + t2 = -1071.428571 The t term is -22.14285714t. Take half its coefficient (-11.07142857). Square it (122.5765306) and add it to both sides. Add '122.5765306' to each side of the equation. -22.14285714t + 122.5765306 + t2 = -1071.428571 + 122.5765306 Reorder the terms: 122.5765306 + -22.14285714t + t2 = -1071.428571 + 122.5765306 Combine like terms: -1071.428571 + 122.5765306 = -948.8520404 122.5765306 + -22.14285714t + t2 = -948.8520404 Factor a perfect square on the left side: (t + -11.07142857)(t + -11.07142857) = -948.8520404 Can't calculate square root of the right side. The solution to this equation could not be determined.
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