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Simplifying 8x2 + 144x + 648 + 4 = x Reorder the terms: 648 + 4 + 144x + 8x2 = x Combine like terms: 648 + 4 = 652 652 + 144x + 8x2 = x Solving 652 + 144x + 8x2 = x Solving for variable 'x'. Reorder the terms: 652 + 144x + -1x + 8x2 = x + -1x Combine like terms: 144x + -1x = 143x 652 + 143x + 8x2 = x + -1x Combine like terms: x + -1x = 0 652 + 143x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 81.5 + 17.875x + x2 = 0 Move the constant term to the right: Add '-81.5' to each side of the equation. 81.5 + 17.875x + -81.5 + x2 = 0 + -81.5 Reorder the terms: 81.5 + -81.5 + 17.875x + x2 = 0 + -81.5 Combine like terms: 81.5 + -81.5 = 0.0 0.0 + 17.875x + x2 = 0 + -81.5 17.875x + x2 = 0 + -81.5 Combine like terms: 0 + -81.5 = -81.5 17.875x + x2 = -81.5 The x term is 17.875x. Take half its coefficient (8.9375). Square it (79.87890625) and add it to both sides. Add '79.87890625' to each side of the equation. 17.875x + 79.87890625 + x2 = -81.5 + 79.87890625 Reorder the terms: 79.87890625 + 17.875x + x2 = -81.5 + 79.87890625 Combine like terms: -81.5 + 79.87890625 = -1.62109375 79.87890625 + 17.875x + x2 = -1.62109375 Factor a perfect square on the left side: (x + 8.9375)(x + 8.9375) = -1.62109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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