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Simplifying 15 = -5t2 + 4t + 5 Reorder the terms: 15 = 5 + 4t + -5t2 Solving 15 = 5 + 4t + -5t2 Solving for variable 't'. Combine like terms: 15 + -5 = 10 10 + -4t + 5t2 = 5 + 4t + -5t2 + -5 + -4t + 5t2 Reorder the terms: 10 + -4t + 5t2 = 5 + -5 + 4t + -4t + -5t2 + 5t2 Combine like terms: 5 + -5 = 0 10 + -4t + 5t2 = 0 + 4t + -4t + -5t2 + 5t2 10 + -4t + 5t2 = 4t + -4t + -5t2 + 5t2 Combine like terms: 4t + -4t = 0 10 + -4t + 5t2 = 0 + -5t2 + 5t2 10 + -4t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 10 + -4t + 5t2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2 + -0.8t + t2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -0.8t + -2 + t2 = 0 + -2 Reorder the terms: 2 + -2 + -0.8t + t2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -0.8t + t2 = 0 + -2 -0.8t + t2 = 0 + -2 Combine like terms: 0 + -2 = -2 -0.8t + t2 = -2 The t term is -0.8t. Take half its coefficient (-0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. -0.8t + 0.16 + t2 = -2 + 0.16 Reorder the terms: 0.16 + -0.8t + t2 = -2 + 0.16 Combine like terms: -2 + 0.16 = -1.84 0.16 + -0.8t + t2 = -1.84 Factor a perfect square on the left side: (t + -0.4)(t + -0.4) = -1.84 Can't calculate square root of the right side. The solution to this equation could not be determined.
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