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Simplifying (9x + 25) + (3x + -1)(3x + 1) + -2x(x + 4) = (8x + -1) Reorder the terms: (25 + 9x) + (3x + -1)(3x + 1) + -2x(x + 4) = (8x + -1) Remove parenthesis around (25 + 9x) 25 + 9x + (3x + -1)(3x + 1) + -2x(x + 4) = (8x + -1) Reorder the terms: 25 + 9x + (-1 + 3x)(3x + 1) + -2x(x + 4) = (8x + -1) Reorder the terms: 25 + 9x + (-1 + 3x)(1 + 3x) + -2x(x + 4) = (8x + -1) Multiply (-1 + 3x) * (1 + 3x) 25 + 9x + (-1(1 + 3x) + 3x * (1 + 3x)) + -2x(x + 4) = (8x + -1) 25 + 9x + ((1 * -1 + 3x * -1) + 3x * (1 + 3x)) + -2x(x + 4) = (8x + -1) 25 + 9x + ((-1 + -3x) + 3x * (1 + 3x)) + -2x(x + 4) = (8x + -1) 25 + 9x + (-1 + -3x + (1 * 3x + 3x * 3x)) + -2x(x + 4) = (8x + -1) 25 + 9x + (-1 + -3x + (3x + 9x2)) + -2x(x + 4) = (8x + -1) Combine like terms: -3x + 3x = 0 25 + 9x + (-1 + 0 + 9x2) + -2x(x + 4) = (8x + -1) 25 + 9x + (-1 + 9x2) + -2x(x + 4) = (8x + -1) Reorder the terms: 25 + 9x + -1 + 9x2 + -2x(4 + x) = (8x + -1) 25 + 9x + -1 + 9x2 + (4 * -2x + x * -2x) = (8x + -1) 25 + 9x + -1 + 9x2 + (-8x + -2x2) = (8x + -1) Reorder the terms: 25 + -1 + 9x + -8x + 9x2 + -2x2 = (8x + -1) Combine like terms: 25 + -1 = 24 24 + 9x + -8x + 9x2 + -2x2 = (8x + -1) Combine like terms: 9x + -8x = 1x 24 + 1x + 9x2 + -2x2 = (8x + -1) Combine like terms: 9x2 + -2x2 = 7x2 24 + 1x + 7x2 = (8x + -1) Reorder the terms: 24 + 1x + 7x2 = (-1 + 8x) Remove parenthesis around (-1 + 8x) 24 + 1x + 7x2 = -1 + 8x Solving 24 + 1x + 7x2 = -1 + 8x Solving for variable 'x'. Reorder the terms: 24 + 1 + 1x + -8x + 7x2 = -1 + 8x + 1 + -8x Combine like terms: 24 + 1 = 25 25 + 1x + -8x + 7x2 = -1 + 8x + 1 + -8x Combine like terms: 1x + -8x = -7x 25 + -7x + 7x2 = -1 + 8x + 1 + -8x Reorder the terms: 25 + -7x + 7x2 = -1 + 1 + 8x + -8x Combine like terms: -1 + 1 = 0 25 + -7x + 7x2 = 0 + 8x + -8x 25 + -7x + 7x2 = 8x + -8x Combine like terms: 8x + -8x = 0 25 + -7x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 3.571428571 + -1x + x2 = 0 Move the constant term to the right: Add '-3.571428571' to each side of the equation. 3.571428571 + -1x + -3.571428571 + x2 = 0 + -3.571428571 Reorder the terms: 3.571428571 + -3.571428571 + -1x + x2 = 0 + -3.571428571 Combine like terms: 3.571428571 + -3.571428571 = 0.000000000 0.000000000 + -1x + x2 = 0 + -3.571428571 -1x + x2 = 0 + -3.571428571 Combine like terms: 0 + -3.571428571 = -3.571428571 -1x + x2 = -3.571428571 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -3.571428571 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -3.571428571 + 0.25 Combine like terms: -3.571428571 + 0.25 = -3.321428571 0.25 + -1x + x2 = -3.321428571 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -3.321428571 Can't calculate square root of the right side. The solution to this equation could not be determined.
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