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Simplifying 8x2 + -3x + 20 = 0 Reorder the terms: 20 + -3x + 8x2 = 0 Solving 20 + -3x + 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'. 2.5 + -0.375x + x2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + -0.375x + -2.5 + x2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + -0.375x + x2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -0.375x + x2 = 0 + -2.5 -0.375x + x2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 -0.375x + x2 = -2.5 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 = -2.5 + 0.03515625 Reorder the terms: 0.03515625 + -0.375x + x2 = -2.5 + 0.03515625 Combine like terms: -2.5 + 0.03515625 = -2.46484375 0.03515625 + -0.375x + x2 = -2.46484375 Factor a perfect square on the left side: (x + -0.1875)(x + -0.1875) = -2.46484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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