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Simplifying 19.5t2 + -117t + 189.5 = 0 Reorder the terms: 189.5 + -117t + 19.5t2 = 0 Solving 189.5 + -117t + 19.5t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 19.5 the coefficient of the squared term: Divide each side by '19.5'. 9.717948718 + -6t + t2 = 0 Move the constant term to the right: Add '-9.717948718' to each side of the equation. 9.717948718 + -6t + -9.717948718 + t2 = 0 + -9.717948718 Reorder the terms: 9.717948718 + -9.717948718 + -6t + t2 = 0 + -9.717948718 Combine like terms: 9.717948718 + -9.717948718 = 0.000000000 0.000000000 + -6t + t2 = 0 + -9.717948718 -6t + t2 = 0 + -9.717948718 Combine like terms: 0 + -9.717948718 = -9.717948718 -6t + t2 = -9.717948718 The t term is -6t. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6t + 9 + t2 = -9.717948718 + 9 Reorder the terms: 9 + -6t + t2 = -9.717948718 + 9 Combine like terms: -9.717948718 + 9 = -0.717948718 9 + -6t + t2 = -0.717948718 Factor a perfect square on the left side: (t + -3)(t + -3) = -0.717948718 Can't calculate square root of the right side. The solution to this equation could not be determined.
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