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Simplifying 0.5x2 + -6x + 22 = 0 Reorder the terms: 22 + -6x + 0.5x2 = 0 Solving 22 + -6x + 0.5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.5 the coefficient of the squared term: Divide each side by '0.5'. 44 + -12x + x2 = 0 Move the constant term to the right: Add '-44' to each side of the equation. 44 + -12x + -44 + x2 = 0 + -44 Reorder the terms: 44 + -44 + -12x + x2 = 0 + -44 Combine like terms: 44 + -44 = 0 0 + -12x + x2 = 0 + -44 -12x + x2 = 0 + -44 Combine like terms: 0 + -44 = -44 -12x + x2 = -44 The x term is -12x. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12x + 36 + x2 = -44 + 36 Reorder the terms: 36 + -12x + x2 = -44 + 36 Combine like terms: -44 + 36 = -8 36 + -12x + x2 = -8 Factor a perfect square on the left side: (x + -6)(x + -6) = -8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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