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Simplifying 0 = -4.9t2 + -12t + -30 Reorder the terms: 0 = -30 + -12t + -4.9t2 Solving 0 = -30 + -12t + -4.9t2 Solving for variable 't'. Combine like terms: 0 + 30 = 30 30 + 12t + 4.9t2 = -30 + -12t + -4.9t2 + 30 + 12t + 4.9t2 Reorder the terms: 30 + 12t + 4.9t2 = -30 + 30 + -12t + 12t + -4.9t2 + 4.9t2 Combine like terms: -30 + 30 = 0 30 + 12t + 4.9t2 = 0 + -12t + 12t + -4.9t2 + 4.9t2 30 + 12t + 4.9t2 = -12t + 12t + -4.9t2 + 4.9t2 Combine like terms: -12t + 12t = 0 30 + 12t + 4.9t2 = 0 + -4.9t2 + 4.9t2 30 + 12t + 4.9t2 = -4.9t2 + 4.9t2 Combine like terms: -4.9t2 + 4.9t2 = 0.0 30 + 12t + 4.9t2 = 0.0 Begin completing the square. Divide all terms by 4.9 the coefficient of the squared term: Divide each side by '4.9'. 6.12244898 + 2.448979592t + t2 = 0 Move the constant term to the right: Add '-6.12244898' to each side of the equation. 6.12244898 + 2.448979592t + -6.12244898 + t2 = 0 + -6.12244898 Reorder the terms: 6.12244898 + -6.12244898 + 2.448979592t + t2 = 0 + -6.12244898 Combine like terms: 6.12244898 + -6.12244898 = 0.00000000 0.00000000 + 2.448979592t + t2 = 0 + -6.12244898 2.448979592t + t2 = 0 + -6.12244898 Combine like terms: 0 + -6.12244898 = -6.12244898 2.448979592t + t2 = -6.12244898 The t term is 2.448979592t. Take half its coefficient (1.224489796). Square it (1.499375261) and add it to both sides. Add '1.499375261' to each side of the equation. 2.448979592t + 1.499375261 + t2 = -6.12244898 + 1.499375261 Reorder the terms: 1.499375261 + 2.448979592t + t2 = -6.12244898 + 1.499375261 Combine like terms: -6.12244898 + 1.499375261 = -4.623073719 1.499375261 + 2.448979592t + t2 = -4.623073719 Factor a perfect square on the left side: (t + 1.224489796)(t + 1.224489796) = -4.623073719 Can't calculate square root of the right side. The solution to this equation could not be determined.
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