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Simplifying x2 = 9x + -22 Reorder the terms: x2 = -22 + 9x Solving x2 = -22 + 9x Solving for variable 'x'. Reorder the terms: 22 + -9x + x2 = -22 + 9x + 22 + -9x Reorder the terms: 22 + -9x + x2 = -22 + 22 + 9x + -9x Combine like terms: -22 + 22 = 0 22 + -9x + x2 = 0 + 9x + -9x 22 + -9x + x2 = 9x + -9x Combine like terms: 9x + -9x = 0 22 + -9x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-22' to each side of the equation. 22 + -9x + -22 + x2 = 0 + -22 Reorder the terms: 22 + -22 + -9x + x2 = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -9x + x2 = 0 + -22 -9x + x2 = 0 + -22 Combine like terms: 0 + -22 = -22 -9x + x2 = -22 The x term is -9x. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9x + 20.25 + x2 = -22 + 20.25 Reorder the terms: 20.25 + -9x + x2 = -22 + 20.25 Combine like terms: -22 + 20.25 = -1.75 20.25 + -9x + x2 = -1.75 Factor a perfect square on the left side: (x + -4.5)(x + -4.5) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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