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Simplifying 10x2 + -5x + 312 = 0 Reorder the terms: 312 + -5x + 10x2 = 0 Solving 312 + -5x + 10x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 31.2 + -0.5x + x2 = 0 Move the constant term to the right: Add '-31.2' to each side of the equation. 31.2 + -0.5x + -31.2 + x2 = 0 + -31.2 Reorder the terms: 31.2 + -31.2 + -0.5x + x2 = 0 + -31.2 Combine like terms: 31.2 + -31.2 = 0.0 0.0 + -0.5x + x2 = 0 + -31.2 -0.5x + x2 = 0 + -31.2 Combine like terms: 0 + -31.2 = -31.2 -0.5x + x2 = -31.2 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 = -31.2 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -31.2 + 0.0625 Combine like terms: -31.2 + 0.0625 = -31.1375 0.0625 + -0.5x + x2 = -31.1375 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -31.1375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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