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Simplifying x + -2x * x = 22 Multiply x * x x + -2x2 = 22 Solving x + -2x2 = 22 Solving for variable 'x'. Reorder the terms: -22 + x + -2x2 = 22 + -22 Combine like terms: 22 + -22 = 0 -22 + x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 11 + -0.5x + x2 = 0 Move the constant term to the right: Add '-11' to each side of the equation. 11 + -0.5x + -11 + x2 = 0 + -11 Reorder the terms: 11 + -11 + -0.5x + x2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -0.5x + x2 = 0 + -11 -0.5x + x2 = 0 + -11 Combine like terms: 0 + -11 = -11 -0.5x + x2 = -11 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.5x + 0.25 + x2 = -11 + 0.25 Reorder the terms: 0.25 + -0.5x + x2 = -11 + 0.25 Combine like terms: -11 + 0.25 = -10.75 0.25 + -0.5x + x2 = -10.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -10.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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