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Simplifying 2x(2x + 3) + (x + 8) = 0 Reorder the terms: 2x(3 + 2x) + (x + 8) = 0 (3 * 2x + 2x * 2x) + (x + 8) = 0 (6x + 4x2) + (x + 8) = 0 Reorder the terms: 6x + 4x2 + (8 + x) = 0 Remove parenthesis around (8 + x) 6x + 4x2 + 8 + x = 0 Reorder the terms: 8 + 6x + x + 4x2 = 0 Combine like terms: 6x + x = 7x 8 + 7x + 4x2 = 0 Solving 8 + 7x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 2 + 1.75x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + 1.75x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + 1.75x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1.75x + x2 = 0 + -2 1.75x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 1.75x + x2 = -2 The x term is 1.75x. Take half its coefficient (0.875). Square it (0.765625) and add it to both sides. Add '0.765625' to each side of the equation. 1.75x + 0.765625 + x2 = -2 + 0.765625 Reorder the terms: 0.765625 + 1.75x + x2 = -2 + 0.765625 Combine like terms: -2 + 0.765625 = -1.234375 0.765625 + 1.75x + x2 = -1.234375 Factor a perfect square on the left side: (x + 0.875)(x + 0.875) = -1.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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