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Simplifying -16(t2) + 120t = 229 Reorder the terms: 120t + -16t2 = 229 Solving 120t + -16t2 = 229 Solving for variable 't'. Reorder the terms: -229 + 120t + -16t2 = 229 + -229 Combine like terms: 229 + -229 = 0 -229 + 120t + -16t2 = 0 Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 14.3125 + -7.5t + t2 = 0 Move the constant term to the right: Add '-14.3125' to each side of the equation. 14.3125 + -7.5t + -14.3125 + t2 = 0 + -14.3125 Reorder the terms: 14.3125 + -14.3125 + -7.5t + t2 = 0 + -14.3125 Combine like terms: 14.3125 + -14.3125 = 0.0000 0.0000 + -7.5t + t2 = 0 + -14.3125 -7.5t + t2 = 0 + -14.3125 Combine like terms: 0 + -14.3125 = -14.3125 -7.5t + t2 = -14.3125 The t term is -7.5t. Take half its coefficient (-3.75). Square it (14.0625) and add it to both sides. Add '14.0625' to each side of the equation. -7.5t + 14.0625 + t2 = -14.3125 + 14.0625 Reorder the terms: 14.0625 + -7.5t + t2 = -14.3125 + 14.0625 Combine like terms: -14.3125 + 14.0625 = -0.25 14.0625 + -7.5t + t2 = -0.25 Factor a perfect square on the left side: (t + -3.75)(t + -3.75) = -0.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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