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Simplifying 24x2 + 8 + 2 = 5 + -6x Reorder the terms: 8 + 2 + 24x2 = 5 + -6x Combine like terms: 8 + 2 = 10 10 + 24x2 = 5 + -6x Solving 10 + 24x2 = 5 + -6x Solving for variable 'x'. Reorder the terms: 10 + -5 + 6x + 24x2 = 5 + -6x + -5 + 6x Combine like terms: 10 + -5 = 5 5 + 6x + 24x2 = 5 + -6x + -5 + 6x Reorder the terms: 5 + 6x + 24x2 = 5 + -5 + -6x + 6x Combine like terms: 5 + -5 = 0 5 + 6x + 24x2 = 0 + -6x + 6x 5 + 6x + 24x2 = -6x + 6x Combine like terms: -6x + 6x = 0 5 + 6x + 24x2 = 0 Begin completing the square. Divide all terms by 24 the coefficient of the squared term: Divide each side by '24'. 0.2083333333 + 0.25x + x2 = 0 Move the constant term to the right: Add '-0.2083333333' to each side of the equation. 0.2083333333 + 0.25x + -0.2083333333 + x2 = 0 + -0.2083333333 Reorder the terms: 0.2083333333 + -0.2083333333 + 0.25x + x2 = 0 + -0.2083333333 Combine like terms: 0.2083333333 + -0.2083333333 = 0.0000000000 0.0000000000 + 0.25x + x2 = 0 + -0.2083333333 0.25x + x2 = 0 + -0.2083333333 Combine like terms: 0 + -0.2083333333 = -0.2083333333 0.25x + x2 = -0.2083333333 The x term is 0.25x. Take half its coefficient (0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. 0.25x + 0.015625 + x2 = -0.2083333333 + 0.015625 Reorder the terms: 0.015625 + 0.25x + x2 = -0.2083333333 + 0.015625 Combine like terms: -0.2083333333 + 0.015625 = -0.1927083333 0.015625 + 0.25x + x2 = -0.1927083333 Factor a perfect square on the left side: (x + 0.125)(x + 0.125) = -0.1927083333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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