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Simplifying t2 + 25 = 9t Reorder the terms: 25 + t2 = 9t Solving 25 + t2 = 9t Solving for variable 't'. Reorder the terms: 25 + -9t + t2 = 9t + -9t Combine like terms: 9t + -9t = 0 25 + -9t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + -9t + -25 + t2 = 0 + -25 Reorder the terms: 25 + -25 + -9t + t2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -9t + t2 = 0 + -25 -9t + t2 = 0 + -25 Combine like terms: 0 + -25 = -25 -9t + t2 = -25 The t term is -9t. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9t + 20.25 + t2 = -25 + 20.25 Reorder the terms: 20.25 + -9t + t2 = -25 + 20.25 Combine like terms: -25 + 20.25 = -4.75 20.25 + -9t + t2 = -4.75 Factor a perfect square on the left side: (t + -4.5)(t + -4.5) = -4.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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