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Simplifying 8x = x2 + 22 Reorder the terms: 8x = 22 + x2 Solving 8x = 22 + x2 Solving for variable 'x'. Reorder the terms: -22 + 8x + -1x2 = 22 + x2 + -22 + -1x2 Reorder the terms: -22 + 8x + -1x2 = 22 + -22 + x2 + -1x2 Combine like terms: 22 + -22 = 0 -22 + 8x + -1x2 = 0 + x2 + -1x2 -22 + 8x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -22 + 8x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 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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