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Simplifying -0.5x2 + 4x = 11 Reorder the terms: 4x + -0.5x2 = 11 Solving 4x + -0.5x2 = 11 Solving for variable 'x'. Reorder the terms: -11 + 4x + -0.5x2 = 11 + -11 Combine like terms: 11 + -11 = 0 -11 + 4x + -0.5x2 = 0 Begin completing the square. Divide all terms by -0.5 the coefficient of the squared term: Divide each side by '-0.5'. 22 + -8x + x2 = 0 Move the constant term to the right: Add '-22' to each side of the equation. 22 + -8x + -22 + x2 = 0 + -22 Reorder the terms: 22 + -22 + -8x + x2 = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -8x + x2 = 0 + -22 -8x + x2 = 0 + -22 Combine like terms: 0 + -22 = -22 -8x + x2 = -22 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = -22 + 16 Reorder the terms: 16 + -8x + x2 = -22 + 16 Combine like terms: -22 + 16 = -6 16 + -8x + x2 = -6 Factor a perfect square on the left side: (x + -4)(x + -4) = -6 Can't calculate square root of the right side. The solution to this equation could not be determined.
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