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Simplifying 4.9t2 + 5.2t + 38 = 0 Reorder the terms: 38 + 5.2t + 4.9t2 = 0 Solving 38 + 5.2t + 4.9t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 4.9 the coefficient of the squared term: Divide each side by '4.9'. 7.755102041 + 1.06122449t + t2 = 0 Move the constant term to the right: Add '-7.755102041' to each side of the equation. 7.755102041 + 1.06122449t + -7.755102041 + t2 = 0 + -7.755102041 Reorder the terms: 7.755102041 + -7.755102041 + 1.06122449t + t2 = 0 + -7.755102041 Combine like terms: 7.755102041 + -7.755102041 = 0.000000000 0.000000000 + 1.06122449t + t2 = 0 + -7.755102041 1.06122449t + t2 = 0 + -7.755102041 Combine like terms: 0 + -7.755102041 = -7.755102041 1.06122449t + t2 = -7.755102041 The t term is 1.06122449t. Take half its coefficient (0.530612245). Square it (0.2815493545) and add it to both sides. Add '0.2815493545' to each side of the equation. 1.06122449t + 0.2815493545 + t2 = -7.755102041 + 0.2815493545 Reorder the terms: 0.2815493545 + 1.06122449t + t2 = -7.755102041 + 0.2815493545 Combine like terms: -7.755102041 + 0.2815493545 = -7.4735526865 0.2815493545 + 1.06122449t + t2 = -7.4735526865 Factor a perfect square on the left side: (t + 0.530612245)(t + 0.530612245) = -7.4735526865 Can't calculate square root of the right side. The solution to this equation could not be determined.
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