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Simplifying x2 + -3 + 27 = 8x + -3 Reorder the terms: -3 + 27 + x2 = 8x + -3 Combine like terms: -3 + 27 = 24 24 + x2 = 8x + -3 Reorder the terms: 24 + x2 = -3 + 8x Solving 24 + x2 = -3 + 8x Solving for variable 'x'. Reorder the terms: 24 + 3 + -8x + x2 = -3 + 8x + 3 + -8x Combine like terms: 24 + 3 = 27 27 + -8x + x2 = -3 + 8x + 3 + -8x Reorder the terms: 27 + -8x + x2 = -3 + 3 + 8x + -8x Combine like terms: -3 + 3 = 0 27 + -8x + x2 = 0 + 8x + -8x 27 + -8x + x2 = 8x + -8x Combine like terms: 8x + -8x = 0 27 + -8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-27' to each side of the equation. 27 + -8x + -27 + x2 = 0 + -27 Reorder the terms: 27 + -27 + -8x + x2 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -8x + x2 = 0 + -27 -8x + x2 = 0 + -27 Combine like terms: 0 + -27 = -27 -8x + x2 = -27 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 = -27 + 16 Reorder the terms: 16 + -8x + x2 = -27 + 16 Combine like terms: -27 + 16 = -11 16 + -8x + x2 = -11 Factor a perfect square on the left side: (x + -4)(x + -4) = -11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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