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Simplifying 24x2 + 3x + 1852 = 0 Reorder the terms: 1852 + 3x + 24x2 = 0 Solving 1852 + 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'. 77.16666667 + 0.125x + x2 = 0 Move the constant term to the right: Add '-77.16666667' to each side of the equation. 77.16666667 + 0.125x + -77.16666667 + x2 = 0 + -77.16666667 Reorder the terms: 77.16666667 + -77.16666667 + 0.125x + x2 = 0 + -77.16666667 Combine like terms: 77.16666667 + -77.16666667 = 0.00000000 0.00000000 + 0.125x + x2 = 0 + -77.16666667 0.125x + x2 = 0 + -77.16666667 Combine like terms: 0 + -77.16666667 = -77.16666667 0.125x + x2 = -77.16666667 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 = -77.16666667 + 0.00390625 Reorder the terms: 0.00390625 + 0.125x + x2 = -77.16666667 + 0.00390625 Combine like terms: -77.16666667 + 0.00390625 = -77.16276042 0.00390625 + 0.125x + x2 = -77.16276042 Factor a perfect square on the left side: (x + 0.0625)(x + 0.0625) = -77.16276042 Can't calculate square root of the right side. The solution to this equation could not be determined.
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