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Simplifying 4t2 + -1t + 5 = 2 Reorder the terms: 5 + -1t + 4t2 = 2 Solving 5 + -1t + 4t2 = 2 Solving for variable 't'. Reorder the terms: 5 + -2 + -1t + 4t2 = 2 + -2 Combine like terms: 5 + -2 = 3 3 + -1t + 4t2 = 2 + -2 Combine like terms: 2 + -2 = 0 3 + -1t + 4t2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 0.75 + -0.25t + t2 = 0 Move the constant term to the right: Add '-0.75' to each side of the equation. 0.75 + -0.25t + -0.75 + t2 = 0 + -0.75 Reorder the terms: 0.75 + -0.75 + -0.25t + t2 = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -0.25t + t2 = 0 + -0.75 -0.25t + t2 = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 -0.25t + t2 = -0.75 The t term is -0.25t. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25t + 0.015625 + t2 = -0.75 + 0.015625 Reorder the terms: 0.015625 + -0.25t + t2 = -0.75 + 0.015625 Combine like terms: -0.75 + 0.015625 = -0.734375 0.015625 + -0.25t + t2 = -0.734375 Factor a perfect square on the left side: (t + -0.125)(t + -0.125) = -0.734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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