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Simplifying 150 = -16t2 + 70t + 5 Reorder the terms: 150 = 5 + 70t + -16t2 Solving 150 = 5 + 70t + -16t2 Solving for variable 't'. Combine like terms: 150 + -5 = 145 145 + -70t + 16t2 = 5 + 70t + -16t2 + -5 + -70t + 16t2 Reorder the terms: 145 + -70t + 16t2 = 5 + -5 + 70t + -70t + -16t2 + 16t2 Combine like terms: 5 + -5 = 0 145 + -70t + 16t2 = 0 + 70t + -70t + -16t2 + 16t2 145 + -70t + 16t2 = 70t + -70t + -16t2 + 16t2 Combine like terms: 70t + -70t = 0 145 + -70t + 16t2 = 0 + -16t2 + 16t2 145 + -70t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 145 + -70t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 9.0625 + -4.375t + t2 = 0 Move the constant term to the right: Add '-9.0625' to each side of the equation. 9.0625 + -4.375t + -9.0625 + t2 = 0 + -9.0625 Reorder the terms: 9.0625 + -9.0625 + -4.375t + t2 = 0 + -9.0625 Combine like terms: 9.0625 + -9.0625 = 0.0000 0.0000 + -4.375t + t2 = 0 + -9.0625 -4.375t + t2 = 0 + -9.0625 Combine like terms: 0 + -9.0625 = -9.0625 -4.375t + t2 = -9.0625 The t term is -4.375t. Take half its coefficient (-2.1875). Square it (4.78515625) and add it to both sides. Add '4.78515625' to each side of the equation. -4.375t + 4.78515625 + t2 = -9.0625 + 4.78515625 Reorder the terms: 4.78515625 + -4.375t + t2 = -9.0625 + 4.78515625 Combine like terms: -9.0625 + 4.78515625 = -4.27734375 4.78515625 + -4.375t + t2 = -4.27734375 Factor a perfect square on the left side: (t + -2.1875)(t + -2.1875) = -4.27734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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