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Simplifying 2t2 + -15t + 36 = -40 Reorder the terms: 36 + -15t + 2t2 = -40 Solving 36 + -15t + 2t2 = -40 Solving for variable 't'. Reorder the terms: 36 + 40 + -15t + 2t2 = -40 + 40 Combine like terms: 36 + 40 = 76 76 + -15t + 2t2 = -40 + 40 Combine like terms: -40 + 40 = 0 76 + -15t + 2t2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 38 + -7.5t + t2 = 0 Move the constant term to the right: Add '-38' to each side of the equation. 38 + -7.5t + -38 + t2 = 0 + -38 Reorder the terms: 38 + -38 + -7.5t + t2 = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -7.5t + t2 = 0 + -38 -7.5t + t2 = 0 + -38 Combine like terms: 0 + -38 = -38 -7.5t + t2 = -38 The t term is -7.5t. Take half its coefficient (-3.75). Square it (14.0625) and add it to both sides. Add '14.0625' to each side of the equation. -7.5t + 14.0625 + t2 = -38 + 14.0625 Reorder the terms: 14.0625 + -7.5t + t2 = -38 + 14.0625 Combine like terms: -38 + 14.0625 = -23.9375 14.0625 + -7.5t + t2 = -23.9375 Factor a perfect square on the left side: (t + -3.75)(t + -3.75) = -23.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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