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Simplifying 24x2 + 3x + 8 = 0 Reorder the terms: 8 + 3x + 24x2 = 0 Solving 8 + 3x + 24x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 24 the coefficient of the squared term: Divide each side by '24'. 0.3333333333 + 0.125x + x2 = 0 Move the constant term to the right: Add '-0.3333333333' to each side of the equation. 0.3333333333 + 0.125x + -0.3333333333 + x2 = 0 + -0.3333333333 Reorder the terms: 0.3333333333 + -0.3333333333 + 0.125x + x2 = 0 + -0.3333333333 Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000 0.0000000000 + 0.125x + x2 = 0 + -0.3333333333 0.125x + x2 = 0 + -0.3333333333 Combine like terms: 0 + -0.3333333333 = -0.3333333333 0.125x + x2 = -0.3333333333 The x term is 0.125x. Take half its coefficient (0.0625). Square it (0.00390625) and add it to both sides. Add '0.00390625' to each side of the equation. 0.125x + 0.00390625 + x2 = -0.3333333333 + 0.00390625 Reorder the terms: 0.00390625 + 0.125x + x2 = -0.3333333333 + 0.00390625 Combine like terms: -0.3333333333 + 0.00390625 = -0.3294270833 0.00390625 + 0.125x + x2 = -0.3294270833 Factor a perfect square on the left side: (x + 0.0625)(x + 0.0625) = -0.3294270833 Can't calculate square root of the right side. The solution to this equation could not be determined.
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