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Simplifying t2 + -2.5t + 25 = 0 Reorder the terms: 25 + -2.5t + t2 = 0 Solving 25 + -2.5t + t2 = 0 Solving for variable 't'. Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + -2.5t + -25 + t2 = 0 + -25 Reorder the terms: 25 + -25 + -2.5t + t2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -2.5t + t2 = 0 + -25 -2.5t + t2 = 0 + -25 Combine like terms: 0 + -25 = -25 -2.5t + t2 = -25 The t term is -2.5t. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5t + 1.5625 + t2 = -25 + 1.5625 Reorder the terms: 1.5625 + -2.5t + t2 = -25 + 1.5625 Combine like terms: -25 + 1.5625 = -23.4375 1.5625 + -2.5t + t2 = -23.4375 Factor a perfect square on the left side: (t + -1.25)(t + -1.25) = -23.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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