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Simplifying 80 = -16t2 + 35t Reorder the terms: 80 = 35t + -16t2 Solving 80 = 35t + -16t2 Solving for variable 't'. Reorder the terms: 80 + -35t + 16t2 = 35t + -35t + -16t2 + 16t2 Combine like terms: 35t + -35t = 0 80 + -35t + 16t2 = 0 + -16t2 + 16t2 80 + -35t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 80 + -35t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 5 + -2.1875t + t2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -2.1875t + -5 + t2 = 0 + -5 Reorder the terms: 5 + -5 + -2.1875t + t2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2.1875t + t2 = 0 + -5 -2.1875t + t2 = 0 + -5 Combine like terms: 0 + -5 = -5 -2.1875t + t2 = -5 The t term is -2.1875t. Take half its coefficient (-1.09375). Square it (1.196289063) and add it to both sides. Add '1.196289063' to each side of the equation. -2.1875t + 1.196289063 + t2 = -5 + 1.196289063 Reorder the terms: 1.196289063 + -2.1875t + t2 = -5 + 1.196289063 Combine like terms: -5 + 1.196289063 = -3.803710937 1.196289063 + -2.1875t + t2 = -3.803710937 Factor a perfect square on the left side: (t + -1.09375)(t + -1.09375) = -3.803710937 Can't calculate square root of the right side. The solution to this equation could not be determined.
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