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Simplifying 22x = x2 + 12x + 36 Reorder the terms: 22x = 36 + 12x + x2 Solving 22x = 36 + 12x + x2 Solving for variable 'x'. Reorder the terms: -36 + 22x + -12x + -1x2 = 36 + 12x + x2 + -36 + -12x + -1x2 Combine like terms: 22x + -12x = 10x -36 + 10x + -1x2 = 36 + 12x + x2 + -36 + -12x + -1x2 Reorder the terms: -36 + 10x + -1x2 = 36 + -36 + 12x + -12x + x2 + -1x2 Combine like terms: 36 + -36 = 0 -36 + 10x + -1x2 = 0 + 12x + -12x + x2 + -1x2 -36 + 10x + -1x2 = 12x + -12x + x2 + -1x2 Combine like terms: 12x + -12x = 0 -36 + 10x + -1x2 = 0 + x2 + -1x2 -36 + 10x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -36 + 10x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 36 + -10x + x2 = 0 Move the constant term to the right: Add '-36' to each side of the equation. 36 + -10x + -36 + x2 = 0 + -36 Reorder the terms: 36 + -36 + -10x + x2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -10x + x2 = 0 + -36 -10x + x2 = 0 + -36 Combine like terms: 0 + -36 = -36 -10x + x2 = -36 The x term is -10x. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10x + 25 + x2 = -36 + 25 Reorder the terms: 25 + -10x + x2 = -36 + 25 Combine like terms: -36 + 25 = -11 25 + -10x + x2 = -11 Factor a perfect square on the left side: (x + -5)(x + -5) = -11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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