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Simplifying 9 + 5(t + 1) * 4t = 0 Reorder the terms: 9 + 5(1 + t) * 4t = 0 Reorder the terms for easier multiplication: 9 + 5 * 4t(1 + t) = 0 Multiply 5 * 4 9 + 20t(1 + t) = 0 9 + (1 * 20t + t * 20t) = 0 9 + (20t + 20t2) = 0 Solving 9 + 20t + 20t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. 0.45 + t + t2 = 0.0 Move the constant term to the right: Add '-0.45' to each side of the equation. 0.45 + t + -0.45 + t2 = 0.0 + -0.45 Reorder the terms: 0.45 + -0.45 + t + t2 = 0.0 + -0.45 Combine like terms: 0.45 + -0.45 = 0.00 0.00 + t + t2 = 0.0 + -0.45 t + t2 = 0.0 + -0.45 Combine like terms: 0.0 + -0.45 = -0.45 t + t2 = -0.45 The t term is t. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + t2 = -0.45 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + t2 = -0.45 + 0.25 Combine like terms: -0.45 + 0.25 = -0.2 1.25 + t2 = -0.2 Factor a perfect square on the left side: (t + 0.5)(t + 0.5) = -0.2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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