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Simplifying (-5x + 8) + (x2 + x + 8) = 0 Reorder the terms: (8 + -5x) + (x2 + x + 8) = 0 Remove parenthesis around (8 + -5x) 8 + -5x + (x2 + x + 8) = 0 Reorder the terms: 8 + -5x + (8 + x + x2) = 0 Remove parenthesis around (8 + x + x2) 8 + -5x + 8 + x + x2 = 0 Reorder the terms: 8 + 8 + -5x + x + x2 = 0 Combine like terms: 8 + 8 = 16 16 + -5x + x + x2 = 0 Combine like terms: -5x + x = -4x 16 + -4x + x2 = 0 Solving 16 + -4x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-16' to each side of the equation. 16 + -4x + -16 + x2 = 0 + -16 Reorder the terms: 16 + -16 + -4x + x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -4x + x2 = 0 + -16 -4x + x2 = 0 + -16 Combine like terms: 0 + -16 = -16 -4x + x2 = -16 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -16 + 4 Reorder the terms: 4 + -4x + x2 = -16 + 4 Combine like terms: -16 + 4 = -12 4 + -4x + x2 = -12 Factor a perfect square on the left side: (x + -2)(x + -2) = -12 Can't calculate square root of the right side. The solution to this equation could not be determined.
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