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Simplifying 19 = -16t2 + 30t Reorder the terms: 19 = 30t + -16t2 Solving 19 = 30t + -16t2 Solving for variable 't'. Reorder the terms: 19 + -30t + 16t2 = 30t + -30t + -16t2 + 16t2 Combine like terms: 30t + -30t = 0 19 + -30t + 16t2 = 0 + -16t2 + 16t2 19 + -30t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 19 + -30t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 1.1875 + -1.875t + t2 = 0 Move the constant term to the right: Add '-1.1875' to each side of the equation. 1.1875 + -1.875t + -1.1875 + t2 = 0 + -1.1875 Reorder the terms: 1.1875 + -1.1875 + -1.875t + t2 = 0 + -1.1875 Combine like terms: 1.1875 + -1.1875 = 0.0000 0.0000 + -1.875t + t2 = 0 + -1.1875 -1.875t + t2 = 0 + -1.1875 Combine like terms: 0 + -1.1875 = -1.1875 -1.875t + t2 = -1.1875 The t term is -1.875t. Take half its coefficient (-0.9375). Square it (0.87890625) and add it to both sides. Add '0.87890625' to each side of the equation. -1.875t + 0.87890625 + t2 = -1.1875 + 0.87890625 Reorder the terms: 0.87890625 + -1.875t + t2 = -1.1875 + 0.87890625 Combine like terms: -1.1875 + 0.87890625 = -0.30859375 0.87890625 + -1.875t + t2 = -0.30859375 Factor a perfect square on the left side: (t + -0.9375)(t + -0.9375) = -0.30859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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