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Simplifying (8t2) + -4t + 3 = 0 Reorder the terms: 3 + -4t + (8t2) = 0 Solving 3 + -4t + (8t2) = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.375 + -0.5t + t2 = 0 Move the constant term to the right: Add '-0.375' to each side of the equation. 0.375 + -0.5t + -0.375 + t2 = 0 + -0.375 Reorder the terms: 0.375 + -0.375 + -0.5t + t2 = 0 + -0.375 Combine like terms: 0.375 + -0.375 = 0.000 0.000 + -0.5t + t2 = 0 + -0.375 -0.5t + t2 = 0 + -0.375 Combine like terms: 0 + -0.375 = -0.375 -0.5t + t2 = -0.375 The t term is -0.5t. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5t + 0.0625 + t2 = -0.375 + 0.0625 Reorder the terms: 0.0625 + -0.5t + t2 = -0.375 + 0.0625 Combine like terms: -0.375 + 0.0625 = -0.3125 0.0625 + -0.5t + t2 = -0.3125 Factor a perfect square on the left side: ((t) + -0.25)((t) + -0.25) = -0.3125 Can't calculate square root of the right side. The solution to this equation could not be determined.
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