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Simplifying t2 + -5t + 125 = 0 Reorder the terms: 125 + -5t + t2 = 0 Solving 125 + -5t + t2 = 0 Solving for variable 't'. Begin completing the square. Move the constant term to the right: Add '-125' to each side of the equation. 125 + -5t + -125 + t2 = 0 + -125 Reorder the terms: 125 + -125 + -5t + t2 = 0 + -125 Combine like terms: 125 + -125 = 0 0 + -5t + t2 = 0 + -125 -5t + t2 = 0 + -125 Combine like terms: 0 + -125 = -125 -5t + t2 = -125 The t term is -5t. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5t + 6.25 + t2 = -125 + 6.25 Reorder the terms: 6.25 + -5t + t2 = -125 + 6.25 Combine like terms: -125 + 6.25 = -118.75 6.25 + -5t + t2 = -118.75 Factor a perfect square on the left side: (t + -2.5)(t + -2.5) = -118.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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