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Simplifying 8t2 + 10t = -5 Reorder the terms: 10t + 8t2 = -5 Solving 10t + 8t2 = -5 Solving for variable 't'. Reorder the terms: 5 + 10t + 8t2 = -5 + 5 Combine like terms: -5 + 5 = 0 5 + 10t + 8t2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.625 + 1.25t + t2 = 0 Move the constant term to the right: Add '-0.625' to each side of the equation. 0.625 + 1.25t + -0.625 + t2 = 0 + -0.625 Reorder the terms: 0.625 + -0.625 + 1.25t + t2 = 0 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + 1.25t + t2 = 0 + -0.625 1.25t + t2 = 0 + -0.625 Combine like terms: 0 + -0.625 = -0.625 1.25t + t2 = -0.625 The t term is 1.25t. Take half its coefficient (0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. 1.25t + 0.390625 + t2 = -0.625 + 0.390625 Reorder the terms: 0.390625 + 1.25t + t2 = -0.625 + 0.390625 Combine like terms: -0.625 + 0.390625 = -0.234375 0.390625 + 1.25t + t2 = -0.234375 Factor a perfect square on the left side: (t + 0.625)(t + 0.625) = -0.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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