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Simplifying 0.01t2 + -0.5t + 18 = 0 Reorder the terms: 18 + -0.5t + 0.01t2 = 0 Solving 18 + -0.5t + 0.01t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 0.01 the coefficient of the squared term: Divide each side by '0.01'. 1800 + -50t + t2 = 0 Move the constant term to the right: Add '-1800' to each side of the equation. 1800 + -50t + -1800 + t2 = 0 + -1800 Reorder the terms: 1800 + -1800 + -50t + t2 = 0 + -1800 Combine like terms: 1800 + -1800 = 0 0 + -50t + t2 = 0 + -1800 -50t + t2 = 0 + -1800 Combine like terms: 0 + -1800 = -1800 -50t + t2 = -1800 The t term is -50t. Take half its coefficient (-25). Square it (625) and add it to both sides. Add '625' to each side of the equation. -50t + 625 + t2 = -1800 + 625 Reorder the terms: 625 + -50t + t2 = -1800 + 625 Combine like terms: -1800 + 625 = -1175 625 + -50t + t2 = -1175 Factor a perfect square on the left side: (t + -25)(t + -25) = -1175 Can't calculate square root of the right side. The solution to this equation could not be determined.
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