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Simplifying (x2 + 1) = (x + -8) Reorder the terms: (1 + x2) = (x + -8) Remove parenthesis around (1 + x2) 1 + x2 = (x + -8) Reorder the terms: 1 + x2 = (-8 + x) Remove parenthesis around (-8 + x) 1 + x2 = -8 + x Solving 1 + x2 = -8 + x Solving for variable 'x'. Reorder the terms: 1 + 8 + -1x + x2 = -8 + x + 8 + -1x Combine like terms: 1 + 8 = 9 9 + -1x + x2 = -8 + x + 8 + -1x Reorder the terms: 9 + -1x + x2 = -8 + 8 + x + -1x Combine like terms: -8 + 8 = 0 9 + -1x + x2 = 0 + x + -1x 9 + -1x + x2 = x + -1x Combine like terms: x + -1x = 0 9 + -1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + -1x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + -1x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x + x2 = 0 + -9 -1x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -1x + x2 = -9 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -9 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -9 + 0.25 Combine like terms: -9 + 0.25 = -8.75 0.25 + -1x + x2 = -8.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -8.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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