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Simplifying 18x2 + 19x + 24 = 0 Reorder the terms: 24 + 19x + 18x2 = 0 Solving 24 + 19x + 18x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 1.333333333 + 1.055555556x + x2 = 0 Move the constant term to the right: Add '-1.333333333' to each side of the equation. 1.333333333 + 1.055555556x + -1.333333333 + x2 = 0 + -1.333333333 Reorder the terms: 1.333333333 + -1.333333333 + 1.055555556x + x2 = 0 + -1.333333333 Combine like terms: 1.333333333 + -1.333333333 = 0.000000000 0.000000000 + 1.055555556x + x2 = 0 + -1.333333333 1.055555556x + x2 = 0 + -1.333333333 Combine like terms: 0 + -1.333333333 = -1.333333333 1.055555556x + x2 = -1.333333333 The x term is 1.055555556x. Take half its coefficient (0.527777778). Square it (0.2785493830) and add it to both sides. Add '0.2785493830' to each side of the equation. 1.055555556x + 0.2785493830 + x2 = -1.333333333 + 0.2785493830 Reorder the terms: 0.2785493830 + 1.055555556x + x2 = -1.333333333 + 0.2785493830 Combine like terms: -1.333333333 + 0.2785493830 = -1.05478395 0.2785493830 + 1.055555556x + x2 = -1.05478395 Factor a perfect square on the left side: (x + 0.527777778)(x + 0.527777778) = -1.05478395 Can't calculate square root of the right side. The solution to this equation could not be determined.
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