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Simplifying -16t2 + 35t = 20 Reorder the terms: 35t + -16t2 = 20 Solving 35t + -16t2 = 20 Solving for variable 't'. Reorder the terms: -20 + 35t + -16t2 = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + 35t + -16t2 = 0 Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 1.25 + -2.1875t + t2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + -2.1875t + -1.25 + t2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + -2.1875t + t2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + -2.1875t + t2 = 0 + -1.25 -2.1875t + t2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 -2.1875t + t2 = -1.25 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 = -1.25 + 1.196289063 Reorder the terms: 1.196289063 + -2.1875t + t2 = -1.25 + 1.196289063 Combine like terms: -1.25 + 1.196289063 = -0.053710937 1.196289063 + -2.1875t + t2 = -0.053710937 Factor a perfect square on the left side: (t + -1.09375)(t + -1.09375) = -0.053710937 Can't calculate square root of the right side. The solution to this equation could not be determined.
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