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Simplifying 5t2 + -14t + 100 = 0 Reorder the terms: 100 + -14t + 5t2 = 0 Solving 100 + -14t + 5t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 20 + -2.8t + t2 = 0 Move the constant term to the right: Add '-20' to each side of the equation. 20 + -2.8t + -20 + t2 = 0 + -20 Reorder the terms: 20 + -20 + -2.8t + t2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -2.8t + t2 = 0 + -20 -2.8t + t2 = 0 + -20 Combine like terms: 0 + -20 = -20 -2.8t + t2 = -20 The t term is -2.8t. Take half its coefficient (-1.4). Square it (1.96) and add it to both sides. Add '1.96' to each side of the equation. -2.8t + 1.96 + t2 = -20 + 1.96 Reorder the terms: 1.96 + -2.8t + t2 = -20 + 1.96 Combine like terms: -20 + 1.96 = -18.04 1.96 + -2.8t + t2 = -18.04 Factor a perfect square on the left side: (t + -1.4)(t + -1.4) = -18.04 Can't calculate square root of the right side. The solution to this equation could not be determined.
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