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Simplifying x2 + -8x = -102 Reorder the terms: -8x + x2 = -102 Solving -8x + x2 = -102 Solving for variable 'x'. Reorder the terms: 102 + -8x + x2 = -102 + 102 Combine like terms: -102 + 102 = 0 102 + -8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-102' to each side of the equation. 102 + -8x + -102 + x2 = 0 + -102 Reorder the terms: 102 + -102 + -8x + x2 = 0 + -102 Combine like terms: 102 + -102 = 0 0 + -8x + x2 = 0 + -102 -8x + x2 = 0 + -102 Combine like terms: 0 + -102 = -102 -8x + x2 = -102 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 = -102 + 16 Reorder the terms: 16 + -8x + x2 = -102 + 16 Combine like terms: -102 + 16 = -86 16 + -8x + x2 = -86 Factor a perfect square on the left side: (x + -4)(x + -4) = -86 Can't calculate square root of the right side. The solution to this equation could not be determined.
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