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Simplifying 0 = -16t2 + 14t + -3.4 Reorder the terms: 0 = -3.4 + 14t + -16t2 Solving 0 = -3.4 + 14t + -16t2 Solving for variable 't'. Combine like terms: 0 + 3.4 = 3.4 3.4 + -14t + 16t2 = -3.4 + 14t + -16t2 + 3.4 + -14t + 16t2 Reorder the terms: 3.4 + -14t + 16t2 = -3.4 + 3.4 + 14t + -14t + -16t2 + 16t2 Combine like terms: -3.4 + 3.4 = 0.0 3.4 + -14t + 16t2 = 0.0 + 14t + -14t + -16t2 + 16t2 3.4 + -14t + 16t2 = 14t + -14t + -16t2 + 16t2 Combine like terms: 14t + -14t = 0 3.4 + -14t + 16t2 = 0 + -16t2 + 16t2 3.4 + -14t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 3.4 + -14t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.2125 + -0.875t + t2 = 0 Move the constant term to the right: Add '-0.2125' to each side of the equation. 0.2125 + -0.875t + -0.2125 + t2 = 0 + -0.2125 Reorder the terms: 0.2125 + -0.2125 + -0.875t + t2 = 0 + -0.2125 Combine like terms: 0.2125 + -0.2125 = 0.0000 0.0000 + -0.875t + t2 = 0 + -0.2125 -0.875t + t2 = 0 + -0.2125 Combine like terms: 0 + -0.2125 = -0.2125 -0.875t + t2 = -0.2125 The t term is -0.875t. Take half its coefficient (-0.4375). Square it (0.19140625) and add it to both sides. Add '0.19140625' to each side of the equation. -0.875t + 0.19140625 + t2 = -0.2125 + 0.19140625 Reorder the terms: 0.19140625 + -0.875t + t2 = -0.2125 + 0.19140625 Combine like terms: -0.2125 + 0.19140625 = -0.02109375 0.19140625 + -0.875t + t2 = -0.02109375 Factor a perfect square on the left side: (t + -0.4375)(t + -0.4375) = -0.02109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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