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Simplifying (t + -0.6875)(t + -0.6875) = -0.52734375 Reorder the terms: (-0.6875 + t)(t + -0.6875) = -0.52734375 Reorder the terms: (-0.6875 + t)(-0.6875 + t) = -0.52734375 Multiply (-0.6875 + t) * (-0.6875 + t) (-0.6875(-0.6875 + t) + t(-0.6875 + t)) = -0.52734375 ((-0.6875 * -0.6875 + t * -0.6875) + t(-0.6875 + t)) = -0.52734375 ((0.47265625 + -0.6875t) + t(-0.6875 + t)) = -0.52734375 (0.47265625 + -0.6875t + (-0.6875 * t + t * t)) = -0.52734375 (0.47265625 + -0.6875t + (-0.6875t + t2)) = -0.52734375 Combine like terms: -0.6875t + -0.6875t = -1.375t (0.47265625 + -1.375t + t2) = -0.52734375 Solving 0.47265625 + -1.375t + t2 = -0.52734375 Solving for variable 't'. Reorder the terms: 0.47265625 + 0.52734375 + -1.375t + t2 = -0.52734375 + 0.52734375 Combine like terms: 0.47265625 + 0.52734375 = 1 1 + -1.375t + t2 = -0.52734375 + 0.52734375 Combine like terms: -0.52734375 + 0.52734375 = 0.00000000 1 + -1.375t + t2 = 0.00000000 Begin completing the square. Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1.375t + -1 + t2 = 0.00000000 + -1 Reorder the terms: 1 + -1 + -1.375t + t2 = 0.00000000 + -1 Combine like terms: 1 + -1 = 0 0 + -1.375t + t2 = 0.00000000 + -1 -1.375t + t2 = 0.00000000 + -1 Combine like terms: 0.00000000 + -1 = -1 -1.375t + t2 = -1 The t term is -1.375t. Take half its coefficient (-0.6875). Square it (0.47265625) and add it to both sides. Add '0.47265625' to each side of the equation. -1.375t + 0.47265625 + t2 = -1 + 0.47265625 Reorder the terms: 0.47265625 + -1.375t + t2 = -1 + 0.47265625 Combine like terms: -1 + 0.47265625 = -0.52734375 0.47265625 + -1.375t + t2 = -0.52734375 Factor a perfect square on the left side: (t + -0.6875)(t + -0.6875) = -0.52734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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