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Simplifying t2 + 7 = 3t Reorder the terms: 7 + t2 = 3t Solving 7 + t2 = 3t Solving for variable 't'. Reorder the terms: 7 + -3t + t2 = 3t + -3t Combine like terms: 3t + -3t = 0 7 + -3t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-7' to each side of the equation. 7 + -3t + -7 + t2 = 0 + -7 Reorder the terms: 7 + -7 + -3t + t2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3t + t2 = 0 + -7 -3t + t2 = 0 + -7 Combine like terms: 0 + -7 = -7 -3t + t2 = -7 The t term is -3t. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3t + 2.25 + t2 = -7 + 2.25 Reorder the terms: 2.25 + -3t + t2 = -7 + 2.25 Combine like terms: -7 + 2.25 = -4.75 2.25 + -3t + t2 = -4.75 Factor a perfect square on the left side: (t + -1.5)(t + -1.5) = -4.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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