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Simplifying -0.05t2 + -3t + -90 = 0 Reorder the terms: -90 + -3t + -0.05t2 = 0 Solving -90 + -3t + -0.05t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by -0.05 the coefficient of the squared term: Divide each side by '-0.05'. 1800 + 60t + t2 = 0 Move the constant term to the right: Add '-1800' to each side of the equation. 1800 + 60t + -1800 + t2 = 0 + -1800 Reorder the terms: 1800 + -1800 + 60t + t2 = 0 + -1800 Combine like terms: 1800 + -1800 = 0 0 + 60t + t2 = 0 + -1800 60t + t2 = 0 + -1800 Combine like terms: 0 + -1800 = -1800 60t + t2 = -1800 The t term is 60t. Take half its coefficient (30). Square it (900) and add it to both sides. Add '900' to each side of the equation. 60t + 900 + t2 = -1800 + 900 Reorder the terms: 900 + 60t + t2 = -1800 + 900 Combine like terms: -1800 + 900 = -900 900 + 60t + t2 = -900 Factor a perfect square on the left side: (t + 30)(t + 30) = -900 Can't calculate square root of the right side. The solution to this equation could not be determined.
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