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Simplifying 25t2 + 11t + 9 = 0 Reorder the terms: 9 + 11t + 25t2 = 0 Solving 9 + 11t + 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'. 0.36 + 0.44t + t2 = 0 Move the constant term to the right: Add '-0.36' to each side of the equation. 0.36 + 0.44t + -0.36 + t2 = 0 + -0.36 Reorder the terms: 0.36 + -0.36 + 0.44t + t2 = 0 + -0.36 Combine like terms: 0.36 + -0.36 = 0.00 0.00 + 0.44t + t2 = 0 + -0.36 0.44t + t2 = 0 + -0.36 Combine like terms: 0 + -0.36 = -0.36 0.44t + t2 = -0.36 The t term is 0.44t. Take half its coefficient (0.22). Square it (0.0484) and add it to both sides. Add '0.0484' to each side of the equation. 0.44t + 0.0484 + t2 = -0.36 + 0.0484 Reorder the terms: 0.0484 + 0.44t + t2 = -0.36 + 0.0484 Combine like terms: -0.36 + 0.0484 = -0.3116 0.0484 + 0.44t + t2 = -0.3116 Factor a perfect square on the left side: (t + 0.22)(t + 0.22) = -0.3116 Can't calculate square root of the right side. The solution to this equation could not be determined.
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