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Simplifying t2 + -6t + 31 = 0 Reorder the terms: 31 + -6t + t2 = 0 Solving 31 + -6t + t2 = 0 Solving for variable 't'. Begin completing the square. Move the constant term to the right: Add '-31' to each side of the equation. 31 + -6t + -31 + t2 = 0 + -31 Reorder the terms: 31 + -31 + -6t + t2 = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -6t + t2 = 0 + -31 -6t + t2 = 0 + -31 Combine like terms: 0 + -31 = -31 -6t + t2 = -31 The t term is -6t. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6t + 9 + t2 = -31 + 9 Reorder the terms: 9 + -6t + t2 = -31 + 9 Combine like terms: -31 + 9 = -22 9 + -6t + t2 = -22 Factor a perfect square on the left side: (t + -3)(t + -3) = -22 Can't calculate square root of the right side. The solution to this equation could not be determined.
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