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Simplifying 8x2 + 15x + 11 = 0 Reorder the terms: 11 + 15x + 8x2 = 0 Solving 11 + 15x + 8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.375 + 1.875x + x2 = 0 Move the constant term to the right: Add '-1.375' to each side of the equation. 1.375 + 1.875x + -1.375 + x2 = 0 + -1.375 Reorder the terms: 1.375 + -1.375 + 1.875x + x2 = 0 + -1.375 Combine like terms: 1.375 + -1.375 = 0.000 0.000 + 1.875x + x2 = 0 + -1.375 1.875x + x2 = 0 + -1.375 Combine like terms: 0 + -1.375 = -1.375 1.875x + x2 = -1.375 The x term is 1.875x. Take half its coefficient (0.9375). Square it (0.87890625) and add it to both sides. Add '0.87890625' to each side of the equation. 1.875x + 0.87890625 + x2 = -1.375 + 0.87890625 Reorder the terms: 0.87890625 + 1.875x + x2 = -1.375 + 0.87890625 Combine like terms: -1.375 + 0.87890625 = -0.49609375 0.87890625 + 1.875x + x2 = -0.49609375 Factor a perfect square on the left side: (x + 0.9375)(x + 0.9375) = -0.49609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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