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Simplifying -16t2 + 50t = 78.125 Reorder the terms: 50t + -16t2 = 78.125 Solving 50t + -16t2 = 78.125 Solving for variable 't'. Reorder the terms: -78.125 + 50t + -16t2 = 78.125 + -78.125 Combine like terms: 78.125 + -78.125 = 0.000 -78.125 + 50t + -16t2 = 0.000 Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 4.8828125 + -3.125t + t2 = 0.000 Move the constant term to the right: Add '-4.8828125' to each side of the equation. 4.8828125 + -3.125t + -4.8828125 + t2 = 0.000 + -4.8828125 Reorder the terms: 4.8828125 + -4.8828125 + -3.125t + t2 = 0.000 + -4.8828125 Combine like terms: 4.8828125 + -4.8828125 = 0.0000000 0.0000000 + -3.125t + t2 = 0.000 + -4.8828125 -3.125t + t2 = 0.000 + -4.8828125 Combine like terms: 0.000 + -4.8828125 = -4.8828125 -3.125t + t2 = -4.8828125 The t term is -3.125t. Take half its coefficient (-1.5625). Square it (2.44140625) and add it to both sides. Add '2.44140625' to each side of the equation. -3.125t + 2.44140625 + t2 = -4.8828125 + 2.44140625 Reorder the terms: 2.44140625 + -3.125t + t2 = -4.8828125 + 2.44140625 Combine like terms: -4.8828125 + 2.44140625 = -2.44140625 2.44140625 + -3.125t + t2 = -2.44140625 Factor a perfect square on the left side: (t + -1.5625)(t + -1.5625) = -2.44140625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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