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Simplifying -16t2 + 35t = 30 Reorder the terms: 35t + -16t2 = 30 Solving 35t + -16t2 = 30 Solving for variable 't'. Reorder the terms: -30 + 35t + -16t2 = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + 35t + -16t2 = 0 Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 1.875 + -2.1875t + t2 = 0 Move the constant term to the right: Add '-1.875' to each side of the equation. 1.875 + -2.1875t + -1.875 + t2 = 0 + -1.875 Reorder the terms: 1.875 + -1.875 + -2.1875t + t2 = 0 + -1.875 Combine like terms: 1.875 + -1.875 = 0.000 0.000 + -2.1875t + t2 = 0 + -1.875 -2.1875t + t2 = 0 + -1.875 Combine like terms: 0 + -1.875 = -1.875 -2.1875t + t2 = -1.875 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 = -1.875 + 1.196289063 Reorder the terms: 1.196289063 + -2.1875t + t2 = -1.875 + 1.196289063 Combine like terms: -1.875 + 1.196289063 = -0.678710937 1.196289063 + -2.1875t + t2 = -0.678710937 Factor a perfect square on the left side: (t + -1.09375)(t + -1.09375) = -0.678710937 Can't calculate square root of the right side. The solution to this equation could not be determined.
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