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Simplifying 4.905t2 + 10t + 20 = 0 Reorder the terms: 20 + 10t + 4.905t2 = 0 Solving 20 + 10t + 4.905t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 4.905 the coefficient of the squared term: Divide each side by '4.905'. 4.077471967 + 2.038735984t + t2 = 0 Move the constant term to the right: Add '-4.077471967' to each side of the equation. 4.077471967 + 2.038735984t + -4.077471967 + t2 = 0 + -4.077471967 Reorder the terms: 4.077471967 + -4.077471967 + 2.038735984t + t2 = 0 + -4.077471967 Combine like terms: 4.077471967 + -4.077471967 = 0.000000000 0.000000000 + 2.038735984t + t2 = 0 + -4.077471967 2.038735984t + t2 = 0 + -4.077471967 Combine like terms: 0 + -4.077471967 = -4.077471967 2.038735984t + t2 = -4.077471967 The t term is 2.038735984t. Take half its coefficient (1.019367992). Square it (1.039111103) and add it to both sides. Add '1.039111103' to each side of the equation. 2.038735984t + 1.039111103 + t2 = -4.077471967 + 1.039111103 Reorder the terms: 1.039111103 + 2.038735984t + t2 = -4.077471967 + 1.039111103 Combine like terms: -4.077471967 + 1.039111103 = -3.038360864 1.039111103 + 2.038735984t + t2 = -3.038360864 Factor a perfect square on the left side: (t + 1.019367992)(t + 1.019367992) = -3.038360864 Can't calculate square root of the right side. The solution to this equation could not be determined.
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