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Simplifying 9x(3 + 7x) = 2x + -9 (3 * 9x + 7x * 9x) = 2x + -9 (27x + 63x2) = 2x + -9 Reorder the terms: 27x + 63x2 = -9 + 2x Solving 27x + 63x2 = -9 + 2x Solving for variable 'x'. Reorder the terms: 9 + 27x + -2x + 63x2 = -9 + 2x + 9 + -2x Combine like terms: 27x + -2x = 25x 9 + 25x + 63x2 = -9 + 2x + 9 + -2x Reorder the terms: 9 + 25x + 63x2 = -9 + 9 + 2x + -2x Combine like terms: -9 + 9 = 0 9 + 25x + 63x2 = 0 + 2x + -2x 9 + 25x + 63x2 = 2x + -2x Combine like terms: 2x + -2x = 0 9 + 25x + 63x2 = 0 Begin completing the square. Divide all terms by 63 the coefficient of the squared term: Divide each side by '63'. 0.1428571429 + 0.3968253968x + x2 = 0 Move the constant term to the right: Add '-0.1428571429' to each side of the equation. 0.1428571429 + 0.3968253968x + -0.1428571429 + x2 = 0 + -0.1428571429 Reorder the terms: 0.1428571429 + -0.1428571429 + 0.3968253968x + x2 = 0 + -0.1428571429 Combine like terms: 0.1428571429 + -0.1428571429 = 0.0000000000 0.0000000000 + 0.3968253968x + x2 = 0 + -0.1428571429 0.3968253968x + x2 = 0 + -0.1428571429 Combine like terms: 0 + -0.1428571429 = -0.1428571429 0.3968253968x + x2 = -0.1428571429 The x term is 0.3968253968x. Take half its coefficient (0.1984126984). Square it (0.03936759889) and add it to both sides. Add '0.03936759889' to each side of the equation. 0.3968253968x + 0.03936759889 + x2 = -0.1428571429 + 0.03936759889 Reorder the terms: 0.03936759889 + 0.3968253968x + x2 = -0.1428571429 + 0.03936759889 Combine like terms: -0.1428571429 + 0.03936759889 = -0.10348954401 0.03936759889 + 0.3968253968x + x2 = -0.10348954401 Factor a perfect square on the left side: (x + 0.1984126984)(x + 0.1984126984) = -0.10348954401 Can't calculate square root of the right side. The solution to this equation could not be determined.
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