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Simplifying x(x + -5) = x + -22 Reorder the terms: x(-5 + x) = x + -22 (-5 * x + x * x) = x + -22 (-5x + x2) = x + -22 Reorder the terms: -5x + x2 = -22 + x Solving -5x + x2 = -22 + x Solving for variable 'x'. Reorder the terms: 22 + -5x + -1x + x2 = -22 + x + 22 + -1x Combine like terms: -5x + -1x = -6x 22 + -6x + x2 = -22 + x + 22 + -1x Reorder the terms: 22 + -6x + x2 = -22 + 22 + x + -1x Combine like terms: -22 + 22 = 0 22 + -6x + x2 = 0 + x + -1x 22 + -6x + x2 = x + -1x Combine like terms: x + -1x = 0 22 + -6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-22' to each side of the equation. 22 + -6x + -22 + x2 = 0 + -22 Reorder the terms: 22 + -22 + -6x + x2 = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -6x + x2 = 0 + -22 -6x + x2 = 0 + -22 Combine like terms: 0 + -22 = -22 -6x + x2 = -22 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -22 + 9 Reorder the terms: 9 + -6x + x2 = -22 + 9 Combine like terms: -22 + 9 = -13 9 + -6x + x2 = -13 Factor a perfect square on the left side: (x + -3)(x + -3) = -13 Can't calculate square root of the right side. The solution to this equation could not be determined.
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