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Simplifying 8x2 + 3x + 2 = -11 Reorder the terms: 2 + 3x + 8x2 = -11 Solving 2 + 3x + 8x2 = -11 Solving for variable 'x'. Reorder the terms: 2 + 11 + 3x + 8x2 = -11 + 11 Combine like terms: 2 + 11 = 13 13 + 3x + 8x2 = -11 + 11 Combine like terms: -11 + 11 = 0 13 + 3x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.625 + 0.375x + x2 = 0 Move the constant term to the right: Add '-1.625' to each side of the equation. 1.625 + 0.375x + -1.625 + x2 = 0 + -1.625 Reorder the terms: 1.625 + -1.625 + 0.375x + x2 = 0 + -1.625 Combine like terms: 1.625 + -1.625 = 0.000 0.000 + 0.375x + x2 = 0 + -1.625 0.375x + x2 = 0 + -1.625 Combine like terms: 0 + -1.625 = -1.625 0.375x + x2 = -1.625 The x term is 0.375x. Take half its coefficient (0.1875). Square it (0.03515625) and add it to both sides. Add '0.03515625' to each side of the equation. 0.375x + 0.03515625 + x2 = -1.625 + 0.03515625 Reorder the terms: 0.03515625 + 0.375x + x2 = -1.625 + 0.03515625 Combine like terms: -1.625 + 0.03515625 = -1.58984375 0.03515625 + 0.375x + x2 = -1.58984375 Factor a perfect square on the left side: (x + 0.1875)(x + 0.1875) = -1.58984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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