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Simplifying 4x2 + -2x + 119 = 0 Reorder the terms: 119 + -2x + 4x2 = 0 Solving 119 + -2x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 29.75 + -0.5x + x2 = 0 Move the constant term to the right: Add '-29.75' to each side of the equation. 29.75 + -0.5x + -29.75 + x2 = 0 + -29.75 Reorder the terms: 29.75 + -29.75 + -0.5x + x2 = 0 + -29.75 Combine like terms: 29.75 + -29.75 = 0.00 0.00 + -0.5x + x2 = 0 + -29.75 -0.5x + x2 = 0 + -29.75 Combine like terms: 0 + -29.75 = -29.75 -0.5x + x2 = -29.75 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 = -29.75 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -29.75 + 0.0625 Combine like terms: -29.75 + 0.0625 = -29.6875 0.0625 + -0.5x + x2 = -29.6875 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -29.6875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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