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Simplifying 5t2 + -4t + 1.25 = 0 Reorder the terms: 1.25 + -4t + 5t2 = 0 Solving 1.25 + -4t + 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'. 0.25 + -0.8t + t2 = 0 Move the constant term to the right: Add '-0.25' to each side of the equation. 0.25 + -0.8t + -0.25 + t2 = 0 + -0.25 Reorder the terms: 0.25 + -0.25 + -0.8t + t2 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + -0.8t + t2 = 0 + -0.25 -0.8t + t2 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 -0.8t + t2 = -0.25 The t term is -0.8t. Take half its coefficient (-0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. -0.8t + 0.16 + t2 = -0.25 + 0.16 Reorder the terms: 0.16 + -0.8t + t2 = -0.25 + 0.16 Combine like terms: -0.25 + 0.16 = -0.09 0.16 + -0.8t + t2 = -0.09 Factor a perfect square on the left side: (t + -0.4)(t + -0.4) = -0.09 Can't calculate square root of the right side. The solution to this equation could not be determined.
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