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Simplifying 4.9t2 + 10t + 75 = 0 Reorder the terms: 75 + 10t + 4.9t2 = 0 Solving 75 + 10t + 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'. 15.30612245 + 2.040816327t + t2 = 0 Move the constant term to the right: Add '-15.30612245' to each side of the equation. 15.30612245 + 2.040816327t + -15.30612245 + t2 = 0 + -15.30612245 Reorder the terms: 15.30612245 + -15.30612245 + 2.040816327t + t2 = 0 + -15.30612245 Combine like terms: 15.30612245 + -15.30612245 = 0.00000000 0.00000000 + 2.040816327t + t2 = 0 + -15.30612245 2.040816327t + t2 = 0 + -15.30612245 Combine like terms: 0 + -15.30612245 = -15.30612245 2.040816327t + t2 = -15.30612245 The t term is 2.040816327t. Take half its coefficient (1.020408164). Square it (1.041232821) and add it to both sides. Add '1.041232821' to each side of the equation. 2.040816327t + 1.041232821 + t2 = -15.30612245 + 1.041232821 Reorder the terms: 1.041232821 + 2.040816327t + t2 = -15.30612245 + 1.041232821 Combine like terms: -15.30612245 + 1.041232821 = -14.264889629 1.041232821 + 2.040816327t + t2 = -14.264889629 Factor a perfect square on the left side: (t + 1.020408164)(t + 1.020408164) = -14.264889629 Can't calculate square root of the right side. The solution to this equation could not be determined.
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