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Simplifying (X + -11)(3x + 5)(7 + -3x)(2x + 5) = 0 Reorder the terms: (-11 + X)(3x + 5)(7 + -3x)(2x + 5) = 0 Reorder the terms: (-11 + X)(5 + 3x)(7 + -3x)(2x + 5) = 0 Reorder the terms: (-11 + X)(5 + 3x)(7 + -3x)(5 + 2x) = 0 Multiply (-11 + X) * (5 + 3x) (-11(5 + 3x) + X(5 + 3x))(7 + -3x)(5 + 2x) = 0 ((5 * -11 + 3x * -11) + X(5 + 3x))(7 + -3x)(5 + 2x) = 0 ((-55 + -33x) + X(5 + 3x))(7 + -3x)(5 + 2x) = 0 (-55 + -33x + (5 * X + 3x * X))(7 + -3x)(5 + 2x) = 0 (-55 + -33x + (5X + 3xX))(7 + -3x)(5 + 2x) = 0 Reorder the terms: (-55 + 5X + -33x + 3xX)(7 + -3x)(5 + 2x) = 0 (-55 + 5X + -33x + 3xX)(7 + -3x)(5 + 2x) = 0 Multiply (-55 + 5X + -33x + 3xX) * (7 + -3x) (-55(7 + -3x) + 5X * (7 + -3x) + -33x * (7 + -3x) + 3xX * (7 + -3x))(5 + 2x) = 0 ((7 * -55 + -3x * -55) + 5X * (7 + -3x) + -33x * (7 + -3x) + 3xX * (7 + -3x))(5 + 2x) = 0 ((-385 + 165x) + 5X * (7 + -3x) + -33x * (7 + -3x) + 3xX * (7 + -3x))(5 + 2x) = 0 (-385 + 165x + (7 * 5X + -3x * 5X) + -33x * (7 + -3x) + 3xX * (7 + -3x))(5 + 2x) = 0 (-385 + 165x + (35X + -15xX) + -33x * (7 + -3x) + 3xX * (7 + -3x))(5 + 2x) = 0 (-385 + 165x + 35X + -15xX + (7 * -33x + -3x * -33x) + 3xX * (7 + -3x))(5 + 2x) = 0 (-385 + 165x + 35X + -15xX + (-231x + 99x2) + 3xX * (7 + -3x))(5 + 2x) = 0 (-385 + 165x + 35X + -15xX + -231x + 99x2 + (7 * 3xX + -3x * 3xX))(5 + 2x) = 0 (-385 + 165x + 35X + -15xX + -231x + 99x2 + (21xX + -9x2X))(5 + 2x) = 0 Reorder the terms: (-385 + 35X + 165x + -231x + -15xX + 21xX + 99x2 + -9x2X)(5 + 2x) = 0 Combine like terms: 165x + -231x = -66x (-385 + 35X + -66x + -15xX + 21xX + 99x2 + -9x2X)(5 + 2x) = 0 Combine like terms: -15xX + 21xX = 6xX (-385 + 35X + -66x + 6xX + 99x2 + -9x2X)(5 + 2x) = 0 Multiply (-385 + 35X + -66x + 6xX + 99x2 + -9x2X) * (5 + 2x) (-385(5 + 2x) + 35X * (5 + 2x) + -66x * (5 + 2x) + 6xX * (5 + 2x) + 99x2 * (5 + 2x) + -9x2X * (5 + 2x)) = 0 ((5 * -385 + 2x * -385) + 35X * (5 + 2x) + -66x * (5 + 2x) + 6xX * (5 + 2x) + 99x2 * (5 + 2x) + -9x2X * (5 + 2x)) = 0 ((-1925 + -770x) + 35X * (5 + 2x) + -66x * (5 + 2x) + 6xX * (5 + 2x) + 99x2 * (5 + 2x) + -9x2X * (5 + 2x)) = 0 (-1925 + -770x + (5 * 35X + 2x * 35X) + -66x * (5 + 2x) + 6xX * (5 + 2x) + 99x2 * (5 + 2x) + -9x2X * (5 + 2x)) = 0 (-1925 + -770x + (175X + 70xX) + -66x * (5 + 2x) + 6xX * (5 + 2x) + 99x2 * (5 + 2x) + -9x2X * (5 + 2x)) = 0 (-1925 + -770x + 175X + 70xX + (5 * -66x + 2x * -66x) + 6xX * (5 + 2x) + 99x2 * (5 + 2x) + -9x2X * (5 + 2x)) = 0 (-1925 + -770x + 175X + 70xX + (-330x + -132x2) + 6xX * (5 + 2x) + 99x2 * (5 + 2x) + -9x2X * (5 + 2x)) = 0 (-1925 + -770x + 175X + 70xX + -330x + -132x2 + (5 * 6xX + 2x * 6xX) + 99x2 * (5 + 2x) + -9x2X * (5 + 2x)) = 0 (-1925 + -770x + 175X + 70xX + -330x + -132x2 + (30xX + 12x2X) + 99x2 * (5 + 2x) + -9x2X * (5 + 2x)) = 0 (-1925 + -770x + 175X + 70xX + -330x + -132x2 + 30xX + 12x2X + (5 * 99x2 + 2x * 99x2) + -9x2X * (5 + 2x)) = 0 (-1925 + -770x + 175X + 70xX + -330x + -132x2 + 30xX + 12x2X + (495x2 + 198x3) + -9x2X * (5 + 2x)) = 0 (-1925 + -770x + 175X + 70xX + -330x + -132x2 + 30xX + 12x2X + 495x2 + 198x3 + (5 * -9x2X + 2x * -9x2X)) = 0 (-1925 + -770x + 175X + 70xX + -330x + -132x2 + 30xX + 12x2X + 495x2 + 198x3 + (-45x2X + -18x3X)) = 0 Reorder the terms: (-1925 + 175X + -770x + -330x + 70xX + 30xX + -132x2 + 495x2 + 12x2X + -45x2X + 198x3 + -18x3X) = 0 Combine like terms: -770x + -330x = -1100x (-1925 + 175X + -1100x + 70xX + 30xX + -132x2 + 495x2 + 12x2X + -45x2X + 198x3 + -18x3X) = 0 Combine like terms: 70xX + 30xX = 100xX (-1925 + 175X + -1100x + 100xX + -132x2 + 495x2 + 12x2X + -45x2X + 198x3 + -18x3X) = 0 Combine like terms: -132x2 + 495x2 = 363x2 (-1925 + 175X + -1100x + 100xX + 363x2 + 12x2X + -45x2X + 198x3 + -18x3X) = 0 Combine like terms: 12x2X + -45x2X = -33x2X (-1925 + 175X + -1100x + 100xX + 363x2 + -33x2X + 198x3 + -18x3X) = 0 Solving -1925 + 175X + -1100x + 100xX + 363x2 + -33x2X + 198x3 + -18x3X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '1925' to each side of the equation. -1925 + 175X + -1100x + 100xX + 363x2 + -33x2X + 198x3 + 1925 + -18x3X = 0 + 1925 Reorder the terms: -1925 + 1925 + 175X + -1100x + 100xX + 363x2 + -33x2X + 198x3 + -18x3X = 0 + 1925 Combine like terms: -1925 + 1925 = 0 0 + 175X + -1100x + 100xX + 363x2 + -33x2X + 198x3 + -18x3X = 0 + 1925 175X + -1100x + 100xX + 363x2 + -33x2X + 198x3 + -18x3X = 0 + 1925 Combine like terms: 0 + 1925 = 1925 175X + -1100x + 100xX + 363x2 + -33x2X + 198x3 + -18x3X = 1925 Add '1100x' to each side of the equation. 175X + -1100x + 100xX + 363x2 + -33x2X + 198x3 + 1100x + -18x3X = 1925 + 1100x Reorder the terms: 175X + -1100x + 1100x + 100xX + 363x2 + -33x2X + 198x3 + -18x3X = 1925 + 1100x Combine like terms: -1100x + 1100x = 0 175X + 0 + 100xX + 363x2 + -33x2X + 198x3 + -18x3X = 1925 + 1100x 175X + 100xX + 363x2 + -33x2X + 198x3 + -18x3X = 1925 + 1100x Add '-363x2' to each side of the equation. 175X + 100xX + 363x2 + -33x2X + 198x3 + -363x2 + -18x3X = 1925 + 1100x + -363x2 Reorder the terms: 175X + 100xX + 363x2 + -363x2 + -33x2X + 198x3 + -18x3X = 1925 + 1100x + -363x2 Combine like terms: 363x2 + -363x2 = 0 175X + 100xX + 0 + -33x2X + 198x3 + -18x3X = 1925 + 1100x + -363x2 175X + 100xX + -33x2X + 198x3 + -18x3X = 1925 + 1100x + -363x2 Add '-198x3' to each side of the equation. 175X + 100xX + -33x2X + 198x3 + -198x3 + -18x3X = 1925 + 1100x + -363x2 + -198x3 Combine like terms: 198x3 + -198x3 = 0 175X + 100xX + -33x2X + 0 + -18x3X = 1925 + 1100x + -363x2 + -198x3 175X + 100xX + -33x2X + -18x3X = 1925 + 1100x + -363x2 + -198x3 Reorder the terms: -1925 + 175X + -1100x + 100xX + 363x2 + -33x2X + 198x3 + -18x3X = 1925 + 1100x + -363x2 + -198x3 + -1925 + -1100x + 363x2 + 198x3 Reorder the terms: -1925 + 175X + -1100x + 100xX + 363x2 + -33x2X + 198x3 + -18x3X = 1925 + -1925 + 1100x + -1100x + -363x2 + 363x2 + -198x3 + 198x3 Combine like terms: 1925 + -1925 = 0 -1925 + 175X + -1100x + 100xX + 363x2 + -33x2X + 198x3 + -18x3X = 0 + 1100x + -1100x + -363x2 + 363x2 + -198x3 + 198x3 -1925 + 175X + -1100x + 100xX + 363x2 + -33x2X + 198x3 + -18x3X = 1100x + -1100x + -363x2 + 363x2 + -198x3 + 198x3 Combine like terms: 1100x + -1100x = 0 -1925 + 175X + -1100x + 100xX + 363x2 + -33x2X + 198x3 + -18x3X = 0 + -363x2 + 363x2 + -198x3 + 198x3 -1925 + 175X + -1100x + 100xX + 363x2 + -33x2X + 198x3 + -18x3X = -363x2 + 363x2 + -198x3 + 198x3 Combine like terms: -363x2 + 363x2 = 0 -1925 + 175X + -1100x + 100xX + 363x2 + -33x2X + 198x3 + -18x3X = 0 + -198x3 + 198x3 -1925 + 175X + -1100x + 100xX + 363x2 + -33x2X + 198x3 + -18x3X = -198x3 + 198x3 Combine like terms: -198x3 + 198x3 = 0 -1925 + 175X + -1100x + 100xX + 363x2 + -33x2X + 198x3 + -18x3X = 0 The solution to this equation could not be determined.
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