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Simplifying t2 + -5t + 7.6875 = 0 Reorder the terms: 7.6875 + -5t + t2 = 0 Solving 7.6875 + -5t + t2 = 0 Solving for variable 't'. Begin completing the square. Move the constant term to the right: Add '-7.6875' to each side of the equation. 7.6875 + -5t + -7.6875 + t2 = 0 + -7.6875 Reorder the terms: 7.6875 + -7.6875 + -5t + t2 = 0 + -7.6875 Combine like terms: 7.6875 + -7.6875 = 0.0000 0.0000 + -5t + t2 = 0 + -7.6875 -5t + t2 = 0 + -7.6875 Combine like terms: 0 + -7.6875 = -7.6875 -5t + t2 = -7.6875 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 = -7.6875 + 6.25 Reorder the terms: 6.25 + -5t + t2 = -7.6875 + 6.25 Combine like terms: -7.6875 + 6.25 = -1.4375 6.25 + -5t + t2 = -1.4375 Factor a perfect square on the left side: (t + -2.5)(t + -2.5) = -1.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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