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Simplifying 1960 = 245t + -16t2 Solving 1960 = 245t + -16t2 Solving for variable 't'. Reorder the terms: 1960 + -245t + 16t2 = 245t + -245t + -16t2 + 16t2 Combine like terms: 245t + -245t = 0 1960 + -245t + 16t2 = 0 + -16t2 + 16t2 1960 + -245t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 1960 + -245t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 122.5 + -15.3125t + t2 = 0 Move the constant term to the right: Add '-122.5' to each side of the equation. 122.5 + -15.3125t + -122.5 + t2 = 0 + -122.5 Reorder the terms: 122.5 + -122.5 + -15.3125t + t2 = 0 + -122.5 Combine like terms: 122.5 + -122.5 = 0.0 0.0 + -15.3125t + t2 = 0 + -122.5 -15.3125t + t2 = 0 + -122.5 Combine like terms: 0 + -122.5 = -122.5 -15.3125t + t2 = -122.5 The t term is -15.3125t. Take half its coefficient (-7.65625). Square it (58.61816406) and add it to both sides. Add '58.61816406' to each side of the equation. -15.3125t + 58.61816406 + t2 = -122.5 + 58.61816406 Reorder the terms: 58.61816406 + -15.3125t + t2 = -122.5 + 58.61816406 Combine like terms: -122.5 + 58.61816406 = -63.88183594 58.61816406 + -15.3125t + t2 = -63.88183594 Factor a perfect square on the left side: (t + -7.65625)(t + -7.65625) = -63.88183594 Can't calculate square root of the right side. The solution to this equation could not be determined.
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