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Simplifying 2t2 + 15 = 6t + -5t Reorder the terms: 15 + 2t2 = 6t + -5t Combine like terms: 6t + -5t = 1t 15 + 2t2 = 1t Solving 15 + 2t2 = 1t Solving for variable 't'. Reorder the terms: 15 + -1t + 2t2 = 1t + -1t Combine like terms: 1t + -1t = 0 15 + -1t + 2t2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 7.5 + -0.5t + t2 = 0 Move the constant term to the right: Add '-7.5' to each side of the equation. 7.5 + -0.5t + -7.5 + t2 = 0 + -7.5 Reorder the terms: 7.5 + -7.5 + -0.5t + t2 = 0 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -0.5t + t2 = 0 + -7.5 -0.5t + t2 = 0 + -7.5 Combine like terms: 0 + -7.5 = -7.5 -0.5t + t2 = -7.5 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 = -7.5 + 0.0625 Reorder the terms: 0.0625 + -0.5t + t2 = -7.5 + 0.0625 Combine like terms: -7.5 + 0.0625 = -7.4375 0.0625 + -0.5t + t2 = -7.4375 Factor a perfect square on the left side: (t + -0.25)(t + -0.25) = -7.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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