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Simplifying 4x2 + -6x + 11 = 6 Reorder the terms: 11 + -6x + 4x2 = 6 Solving 11 + -6x + 4x2 = 6 Solving for variable 'x'. Reorder the terms: 11 + -6 + -6x + 4x2 = 6 + -6 Combine like terms: 11 + -6 = 5 5 + -6x + 4x2 = 6 + -6 Combine like terms: 6 + -6 = 0 5 + -6x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.25 + -1.5x + x2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + -1.5x + -1.25 + x2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + -1.5x + x2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + -1.5x + x2 = 0 + -1.25 -1.5x + x2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 -1.5x + x2 = -1.25 The x term is -1.5x. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5x + 0.5625 + x2 = -1.25 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = -1.25 + 0.5625 Combine like terms: -1.25 + 0.5625 = -0.6875 0.5625 + -1.5x + x2 = -0.6875 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = -0.6875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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