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Simplifying 0 = -25 + 4.54t + -16.1t2 Solving 0 = -25 + 4.54t + -16.1t2 Solving for variable 't'. Combine like terms: 0 + 25 = 25 25 + -4.54t + 16.1t2 = -25 + 4.54t + -16.1t2 + 25 + -4.54t + 16.1t2 Reorder the terms: 25 + -4.54t + 16.1t2 = -25 + 25 + 4.54t + -4.54t + -16.1t2 + 16.1t2 Combine like terms: -25 + 25 = 0 25 + -4.54t + 16.1t2 = 0 + 4.54t + -4.54t + -16.1t2 + 16.1t2 25 + -4.54t + 16.1t2 = 4.54t + -4.54t + -16.1t2 + 16.1t2 Combine like terms: 4.54t + -4.54t = 0.00 25 + -4.54t + 16.1t2 = 0.00 + -16.1t2 + 16.1t2 25 + -4.54t + 16.1t2 = -16.1t2 + 16.1t2 Combine like terms: -16.1t2 + 16.1t2 = 0.0 25 + -4.54t + 16.1t2 = 0.0 Begin completing the square. Divide all terms by 16.1 the coefficient of the squared term: Divide each side by '16.1'. 1.552795031 + -0.2819875776t + t2 = 0 Move the constant term to the right: Add '-1.552795031' to each side of the equation. 1.552795031 + -0.2819875776t + -1.552795031 + t2 = 0 + -1.552795031 Reorder the terms: 1.552795031 + -1.552795031 + -0.2819875776t + t2 = 0 + -1.552795031 Combine like terms: 1.552795031 + -1.552795031 = 0.000000000 0.000000000 + -0.2819875776t + t2 = 0 + -1.552795031 -0.2819875776t + t2 = 0 + -1.552795031 Combine like terms: 0 + -1.552795031 = -1.552795031 -0.2819875776t + t2 = -1.552795031 The t term is -0.2819875776t. Take half its coefficient (-0.1409937888). Square it (0.01987924848) and add it to both sides. Add '0.01987924848' to each side of the equation. -0.2819875776t + 0.01987924848 + t2 = -1.552795031 + 0.01987924848 Reorder the terms: 0.01987924848 + -0.2819875776t + t2 = -1.552795031 + 0.01987924848 Combine like terms: -1.552795031 + 0.01987924848 = -1.53291578252 0.01987924848 + -0.2819875776t + t2 = -1.53291578252 Factor a perfect square on the left side: (t + -0.1409937888)(t + -0.1409937888) = -1.53291578252 Can't calculate square root of the right side. The solution to this equation could not be determined.
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