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Simplifying 16t2 + -8t + 65 = 0 Reorder the terms: 65 + -8t + 16t2 = 0 Solving 65 + -8t + 16t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 4.0625 + -0.5t + t2 = 0 Move the constant term to the right: Add '-4.0625' to each side of the equation. 4.0625 + -0.5t + -4.0625 + t2 = 0 + -4.0625 Reorder the terms: 4.0625 + -4.0625 + -0.5t + t2 = 0 + -4.0625 Combine like terms: 4.0625 + -4.0625 = 0.0000 0.0000 + -0.5t + t2 = 0 + -4.0625 -0.5t + t2 = 0 + -4.0625 Combine like terms: 0 + -4.0625 = -4.0625 -0.5t + t2 = -4.0625 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 = -4.0625 + 0.0625 Reorder the terms: 0.0625 + -0.5t + t2 = -4.0625 + 0.0625 Combine like terms: -4.0625 + 0.0625 = -4 0.0625 + -0.5t + t2 = -4 Factor a perfect square on the left side: (t + -0.25)(t + -0.25) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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