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Simplifying x2 + 8(1x + 28) = 0 Reorder the terms: x2 + 8(28 + 1x) = 0 x2 + (28 * 8 + 1x * 8) = 0 x2 + (224 + 8x) = 0 Reorder the terms: 224 + 8x + x2 = 0 Solving 224 + 8x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-224' to each side of the equation. 224 + 8x + -224 + x2 = 0 + -224 Reorder the terms: 224 + -224 + 8x + x2 = 0 + -224 Combine like terms: 224 + -224 = 0 0 + 8x + x2 = 0 + -224 8x + x2 = 0 + -224 Combine like terms: 0 + -224 = -224 8x + x2 = -224 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 = -224 + 16 Reorder the terms: 16 + 8x + x2 = -224 + 16 Combine like terms: -224 + 16 = -208 16 + 8x + x2 = -208 Factor a perfect square on the left side: (x + 4)(x + 4) = -208 Can't calculate square root of the right side. The solution to this equation could not be determined.
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