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Simplifying 24 + 6.84x + 4.9x2 = 0 Solving 24 + 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'. 4.897959184 + 1.395918367x + x2 = 0 Move the constant term to the right: Add '-4.897959184' to each side of the equation. 4.897959184 + 1.395918367x + -4.897959184 + x2 = 0 + -4.897959184 Reorder the terms: 4.897959184 + -4.897959184 + 1.395918367x + x2 = 0 + -4.897959184 Combine like terms: 4.897959184 + -4.897959184 = 0.000000000 0.000000000 + 1.395918367x + x2 = 0 + -4.897959184 1.395918367x + x2 = 0 + -4.897959184 Combine like terms: 0 + -4.897959184 = -4.897959184 1.395918367x + x2 = -4.897959184 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 = -4.897959184 + 0.4871470218 Reorder the terms: 0.4871470218 + 1.395918367x + x2 = -4.897959184 + 0.4871470218 Combine like terms: -4.897959184 + 0.4871470218 = -4.4108121622 0.4871470218 + 1.395918367x + x2 = -4.4108121622 Factor a perfect square on the left side: (x + 0.6979591835)(x + 0.6979591835) = -4.4108121622 Can't calculate square root of the right side. The solution to this equation could not be determined.
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