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Simplifying 18 = -16t2 + 35t + -5.5 Reorder the terms: 18 = -5.5 + 35t + -16t2 Solving 18 = -5.5 + 35t + -16t2 Solving for variable 't'. Combine like terms: 18 + 5.5 = 23.5 23.5 + -35t + 16t2 = -5.5 + 35t + -16t2 + 5.5 + -35t + 16t2 Reorder the terms: 23.5 + -35t + 16t2 = -5.5 + 5.5 + 35t + -35t + -16t2 + 16t2 Combine like terms: -5.5 + 5.5 = 0.0 23.5 + -35t + 16t2 = 0.0 + 35t + -35t + -16t2 + 16t2 23.5 + -35t + 16t2 = 35t + -35t + -16t2 + 16t2 Combine like terms: 35t + -35t = 0 23.5 + -35t + 16t2 = 0 + -16t2 + 16t2 23.5 + -35t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 23.5 + -35t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 1.46875 + -2.1875t + t2 = 0 Move the constant term to the right: Add '-1.46875' to each side of the equation. 1.46875 + -2.1875t + -1.46875 + t2 = 0 + -1.46875 Reorder the terms: 1.46875 + -1.46875 + -2.1875t + t2 = 0 + -1.46875 Combine like terms: 1.46875 + -1.46875 = 0.00000 0.00000 + -2.1875t + t2 = 0 + -1.46875 -2.1875t + t2 = 0 + -1.46875 Combine like terms: 0 + -1.46875 = -1.46875 -2.1875t + t2 = -1.46875 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 = -1.46875 + 1.196289063 Reorder the terms: 1.196289063 + -2.1875t + t2 = -1.46875 + 1.196289063 Combine like terms: -1.46875 + 1.196289063 = -0.272460937 1.196289063 + -2.1875t + t2 = -0.272460937 Factor a perfect square on the left side: (t + -1.09375)(t + -1.09375) = -0.272460937 Can't calculate square root of the right side. The solution to this equation could not be determined.
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