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Simplifying -0.01t2 + t + -13 = 0 Reorder the terms: -13 + t + -0.01t2 = 0 Solving -13 + t + -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'. 1300 + -100t + t2 = 0 Move the constant term to the right: Add '-1300' to each side of the equation. 1300 + -100t + -1300 + t2 = 0 + -1300 Reorder the terms: 1300 + -1300 + -100t + t2 = 0 + -1300 Combine like terms: 1300 + -1300 = 0 0 + -100t + t2 = 0 + -1300 -100t + t2 = 0 + -1300 Combine like terms: 0 + -1300 = -1300 -100t + t2 = -1300 The t term is t. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -100t + 0.25 + t2 = -1300 + 0.25 Reorder the terms: 0.25 + -100t + t2 = -1300 + 0.25 Combine like terms: -1300 + 0.25 = -1299.75 0.25 + -100t + t2 = -1299.75 Factor a perfect square on the left side: (t + 0.5)(t + 0.5) = -1299.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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