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Simplifying 4.9t2 + 8t + 30 = 0 Reorder the terms: 30 + 8t + 4.9t2 = 0 Solving 30 + 8t + 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'. 6.12244898 + 1.632653061t + t2 = 0 Move the constant term to the right: Add '-6.12244898' to each side of the equation. 6.12244898 + 1.632653061t + -6.12244898 + t2 = 0 + -6.12244898 Reorder the terms: 6.12244898 + -6.12244898 + 1.632653061t + t2 = 0 + -6.12244898 Combine like terms: 6.12244898 + -6.12244898 = 0.00000000 0.00000000 + 1.632653061t + t2 = 0 + -6.12244898 1.632653061t + t2 = 0 + -6.12244898 Combine like terms: 0 + -6.12244898 = -6.12244898 1.632653061t + t2 = -6.12244898 The t term is 1.632653061t. Take half its coefficient (0.8163265305). Square it (0.6663890044) and add it to both sides. Add '0.6663890044' to each side of the equation. 1.632653061t + 0.6663890044 + t2 = -6.12244898 + 0.6663890044 Reorder the terms: 0.6663890044 + 1.632653061t + t2 = -6.12244898 + 0.6663890044 Combine like terms: -6.12244898 + 0.6663890044 = -5.4560599756 0.6663890044 + 1.632653061t + t2 = -5.4560599756 Factor a perfect square on the left side: (t + 0.8163265305)(t + 0.8163265305) = -5.4560599756 Can't calculate square root of the right side. The solution to this equation could not be determined.
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