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Simplifying 8x2 + 6x + 6.5 = 0 Reorder the terms: 6.5 + 6x + 8x2 = 0 Solving 6.5 + 6x + 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'. 0.8125 + 0.75x + x2 = 0 Move the constant term to the right: Add '-0.8125' to each side of the equation. 0.8125 + 0.75x + -0.8125 + x2 = 0 + -0.8125 Reorder the terms: 0.8125 + -0.8125 + 0.75x + x2 = 0 + -0.8125 Combine like terms: 0.8125 + -0.8125 = 0.0000 0.0000 + 0.75x + x2 = 0 + -0.8125 0.75x + x2 = 0 + -0.8125 Combine like terms: 0 + -0.8125 = -0.8125 0.75x + x2 = -0.8125 The x term is 0.75x. Take half its coefficient (0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. 0.75x + 0.140625 + x2 = -0.8125 + 0.140625 Reorder the terms: 0.140625 + 0.75x + x2 = -0.8125 + 0.140625 Combine like terms: -0.8125 + 0.140625 = -0.671875 0.140625 + 0.75x + x2 = -0.671875 Factor a perfect square on the left side: (x + 0.375)(x + 0.375) = -0.671875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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