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Simplifying 0 = (-4.9t2) + 12t + -58 Reorder the terms: 0 = -58 + 12t + (-4.9t2) Solving 0 = -58 + 12t + (-4.9t2) Solving for variable 't'. Combine like terms: 0 + 58 = 58 58 + -12t + (4.9t2) = -58 + 12t + (-4.9t2) + 58 + -12t + (4.9t2) Reorder the terms: 58 + -12t + (4.9t2) = -58 + 58 + 12t + -12t + (-4.9t2) + (4.9t2) Combine like terms: -58 + 58 = 0 58 + -12t + (4.9t2) = 0 + 12t + -12t + (-4.9t2) + (4.9t2) 58 + -12t + (4.9t2) = 12t + -12t + (-4.9t2) + (4.9t2) Combine like terms: 12t + -12t = 0 58 + -12t + (4.9t2) = 0 + (-4.9t2) + (4.9t2) 58 + -12t + (4.9t2) = (-4.9t2) + (4.9t2) Combine like terms: (-4.9t2) + (4.9t2) = 0.0 58 + -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'. 11.83673469 + -2.448979592t + t2 = 0 Move the constant term to the right: Add '-11.83673469' to each side of the equation. 11.83673469 + -2.448979592t + -11.83673469 + t2 = 0 + -11.83673469 Reorder the terms: 11.83673469 + -11.83673469 + -2.448979592t + t2 = 0 + -11.83673469 Combine like terms: 11.83673469 + -11.83673469 = 0.00000000 0.00000000 + -2.448979592t + t2 = 0 + -11.83673469 -2.448979592t + t2 = 0 + -11.83673469 Combine like terms: 0 + -11.83673469 = -11.83673469 -2.448979592t + t2 = -11.83673469 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 = -11.83673469 + 1.499375261 Reorder the terms: 1.499375261 + -2.448979592t + t2 = -11.83673469 + 1.499375261 Combine like terms: -11.83673469 + 1.499375261 = -10.337359429 1.499375261 + -2.448979592t + t2 = -10.337359429 Factor a perfect square on the left side: ((t) + -1.224489796)((t) + -1.224489796) = -10.337359429 Can't calculate square root of the right side. The solution to this equation could not be determined.
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