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Simplifying x2 + 31 = 8x + -4 Reorder the terms: 31 + x2 = 8x + -4 Reorder the terms: 31 + x2 = -4 + 8x Solving 31 + x2 = -4 + 8x Solving for variable 'x'. Reorder the terms: 31 + 4 + -8x + x2 = -4 + 8x + 4 + -8x Combine like terms: 31 + 4 = 35 35 + -8x + x2 = -4 + 8x + 4 + -8x Reorder the terms: 35 + -8x + x2 = -4 + 4 + 8x + -8x Combine like terms: -4 + 4 = 0 35 + -8x + x2 = 0 + 8x + -8x 35 + -8x + x2 = 8x + -8x Combine like terms: 8x + -8x = 0 35 + -8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-35' to each side of the equation. 35 + -8x + -35 + x2 = 0 + -35 Reorder the terms: 35 + -35 + -8x + x2 = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -8x + x2 = 0 + -35 -8x + x2 = 0 + -35 Combine like terms: 0 + -35 = -35 -8x + x2 = -35 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 = -35 + 16 Reorder the terms: 16 + -8x + x2 = -35 + 16 Combine like terms: -35 + 16 = -19 16 + -8x + x2 = -19 Factor a perfect square on the left side: (x + -4)(x + -4) = -19 Can't calculate square root of the right side. The solution to this equation could not be determined.
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