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Simplifying 18x2 + -9x + 14 = 0 Reorder the terms: 14 + -9x + 18x2 = 0 Solving 14 + -9x + 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'. 0.7777777778 + -0.5x + x2 = 0 Move the constant term to the right: Add '-0.7777777778' to each side of the equation. 0.7777777778 + -0.5x + -0.7777777778 + x2 = 0 + -0.7777777778 Reorder the terms: 0.7777777778 + -0.7777777778 + -0.5x + x2 = 0 + -0.7777777778 Combine like terms: 0.7777777778 + -0.7777777778 = 0.0000000000 0.0000000000 + -0.5x + x2 = 0 + -0.7777777778 -0.5x + x2 = 0 + -0.7777777778 Combine like terms: 0 + -0.7777777778 = -0.7777777778 -0.5x + x2 = -0.7777777778 The x term is -0.5x. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5x + 0.0625 + x2 = -0.7777777778 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -0.7777777778 + 0.0625 Combine like terms: -0.7777777778 + 0.0625 = -0.7152777778 0.0625 + -0.5x + x2 = -0.7152777778 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -0.7152777778 Can't calculate square root of the right side. The solution to this equation could not be determined.
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