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Simplifying 80 = -16t2 + 35t + 12 Reorder the terms: 80 = 12 + 35t + -16t2 Solving 80 = 12 + 35t + -16t2 Solving for variable 't'. Combine like terms: 80 + -12 = 68 68 + -35t + 16t2 = 12 + 35t + -16t2 + -12 + -35t + 16t2 Reorder the terms: 68 + -35t + 16t2 = 12 + -12 + 35t + -35t + -16t2 + 16t2 Combine like terms: 12 + -12 = 0 68 + -35t + 16t2 = 0 + 35t + -35t + -16t2 + 16t2 68 + -35t + 16t2 = 35t + -35t + -16t2 + 16t2 Combine like terms: 35t + -35t = 0 68 + -35t + 16t2 = 0 + -16t2 + 16t2 68 + -35t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 68 + -35t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 4.25 + -2.1875t + t2 = 0 Move the constant term to the right: Add '-4.25' to each side of the equation. 4.25 + -2.1875t + -4.25 + t2 = 0 + -4.25 Reorder the terms: 4.25 + -4.25 + -2.1875t + t2 = 0 + -4.25 Combine like terms: 4.25 + -4.25 = 0.00 0.00 + -2.1875t + t2 = 0 + -4.25 -2.1875t + t2 = 0 + -4.25 Combine like terms: 0 + -4.25 = -4.25 -2.1875t + t2 = -4.25 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 = -4.25 + 1.196289063 Reorder the terms: 1.196289063 + -2.1875t + t2 = -4.25 + 1.196289063 Combine like terms: -4.25 + 1.196289063 = -3.053710937 1.196289063 + -2.1875t + t2 = -3.053710937 Factor a perfect square on the left side: (t + -1.09375)(t + -1.09375) = -3.053710937 Can't calculate square root of the right side. The solution to this equation could not be determined.
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