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Simplifying 30 + 6.84x + 4.9x2 = 0 Solving 30 + 6.84x + 4.9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4.9 the coefficient of the squared term: Divide each side by '4.9'. 6.12244898 + 1.395918367x + x2 = 0 Move the constant term to the right: Add '-6.12244898' to each side of the equation. 6.12244898 + 1.395918367x + -6.12244898 + x2 = 0 + -6.12244898 Reorder the terms: 6.12244898 + -6.12244898 + 1.395918367x + x2 = 0 + -6.12244898 Combine like terms: 6.12244898 + -6.12244898 = 0.00000000 0.00000000 + 1.395918367x + x2 = 0 + -6.12244898 1.395918367x + x2 = 0 + -6.12244898 Combine like terms: 0 + -6.12244898 = -6.12244898 1.395918367x + x2 = -6.12244898 The x term is 1.395918367x. Take half its coefficient (0.6979591835). Square it (0.4871470218) and add it to both sides. Add '0.4871470218' to each side of the equation. 1.395918367x + 0.4871470218 + x2 = -6.12244898 + 0.4871470218 Reorder the terms: 0.4871470218 + 1.395918367x + x2 = -6.12244898 + 0.4871470218 Combine like terms: -6.12244898 + 0.4871470218 = -5.6353019582 0.4871470218 + 1.395918367x + x2 = -5.6353019582 Factor a perfect square on the left side: (x + 0.6979591835)(x + 0.6979591835) = -5.6353019582 Can't calculate square root of the right side. The solution to this equation could not be determined.
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