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Simplifying x(x) + 8x + 174 = 0 Multiply x * x x2 + 8x + 174 = 0 Reorder the terms: 174 + 8x + x2 = 0 Solving 174 + 8x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-174' to each side of the equation. 174 + 8x + -174 + x2 = 0 + -174 Reorder the terms: 174 + -174 + 8x + x2 = 0 + -174 Combine like terms: 174 + -174 = 0 0 + 8x + x2 = 0 + -174 8x + x2 = 0 + -174 Combine like terms: 0 + -174 = -174 8x + x2 = -174 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 = -174 + 16 Reorder the terms: 16 + 8x + x2 = -174 + 16 Combine like terms: -174 + 16 = -158 16 + 8x + x2 = -158 Factor a perfect square on the left side: (x + 4)(x + 4) = -158 Can't calculate square root of the right side. The solution to this equation could not be determined.
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