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Simplifying 5t2 + -9t + 18 = 0 Reorder the terms: 18 + -9t + 5t2 = 0 Solving 18 + -9t + 5t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 3.6 + -1.8t + t2 = 0 Move the constant term to the right: Add '-3.6' to each side of the equation. 3.6 + -1.8t + -3.6 + t2 = 0 + -3.6 Reorder the terms: 3.6 + -3.6 + -1.8t + t2 = 0 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + -1.8t + t2 = 0 + -3.6 -1.8t + t2 = 0 + -3.6 Combine like terms: 0 + -3.6 = -3.6 -1.8t + t2 = -3.6 The t term is -1.8t. Take half its coefficient (-0.9). Square it (0.81) and add it to both sides. Add '0.81' to each side of the equation. -1.8t + 0.81 + t2 = -3.6 + 0.81 Reorder the terms: 0.81 + -1.8t + t2 = -3.6 + 0.81 Combine like terms: -3.6 + 0.81 = -2.79 0.81 + -1.8t + t2 = -2.79 Factor a perfect square on the left side: (t + -0.9)(t + -0.9) = -2.79 Can't calculate square root of the right side. The solution to this equation could not be determined.
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