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Simplifying 25t2 + 90t + 87 = 0 Reorder the terms: 87 + 90t + 25t2 = 0 Solving 87 + 90t + 25t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 3.48 + 3.6t + t2 = 0 Move the constant term to the right: Add '-3.48' to each side of the equation. 3.48 + 3.6t + -3.48 + t2 = 0 + -3.48 Reorder the terms: 3.48 + -3.48 + 3.6t + t2 = 0 + -3.48 Combine like terms: 3.48 + -3.48 = 0.00 0.00 + 3.6t + t2 = 0 + -3.48 3.6t + t2 = 0 + -3.48 Combine like terms: 0 + -3.48 = -3.48 3.6t + t2 = -3.48 The t term is 3.6t. Take half its coefficient (1.8). Square it (3.24) and add it to both sides. Add '3.24' to each side of the equation. 3.6t + 3.24 + t2 = -3.48 + 3.24 Reorder the terms: 3.24 + 3.6t + t2 = -3.48 + 3.24 Combine like terms: -3.48 + 3.24 = -0.24 3.24 + 3.6t + t2 = -0.24 Factor a perfect square on the left side: (t + 1.8)(t + 1.8) = -0.24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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