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Simplifying (5x + -7w + -1)(7x + 3) = 0 Reorder the terms: (-1 + -7w + 5x)(7x + 3) = 0 Reorder the terms: (-1 + -7w + 5x)(3 + 7x) = 0 Multiply (-1 + -7w + 5x) * (3 + 7x) (-1(3 + 7x) + -7w * (3 + 7x) + 5x * (3 + 7x)) = 0 ((3 * -1 + 7x * -1) + -7w * (3 + 7x) + 5x * (3 + 7x)) = 0 ((-3 + -7x) + -7w * (3 + 7x) + 5x * (3 + 7x)) = 0 (-3 + -7x + (3 * -7w + 7x * -7w) + 5x * (3 + 7x)) = 0 (-3 + -7x + (-21w + -49wx) + 5x * (3 + 7x)) = 0 (-3 + -7x + -21w + -49wx + (3 * 5x + 7x * 5x)) = 0 (-3 + -7x + -21w + -49wx + (15x + 35x2)) = 0 Reorder the terms: (-3 + -21w + -49wx + -7x + 15x + 35x2) = 0 Combine like terms: -7x + 15x = 8x (-3 + -21w + -49wx + 8x + 35x2) = 0 Solving -3 + -21w + -49wx + 8x + 35x2 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -21w + -49wx + 8x + 3 + 35x2 = 0 + 3 Reorder the terms: -3 + 3 + -21w + -49wx + 8x + 35x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -21w + -49wx + 8x + 35x2 = 0 + 3 -21w + -49wx + 8x + 35x2 = 0 + 3 Combine like terms: 0 + 3 = 3 -21w + -49wx + 8x + 35x2 = 3 Add '-8x' to each side of the equation. -21w + -49wx + 8x + -8x + 35x2 = 3 + -8x Combine like terms: 8x + -8x = 0 -21w + -49wx + 0 + 35x2 = 3 + -8x -21w + -49wx + 35x2 = 3 + -8x Add '-35x2' to each side of the equation. -21w + -49wx + 35x2 + -35x2 = 3 + -8x + -35x2 Combine like terms: 35x2 + -35x2 = 0 -21w + -49wx + 0 = 3 + -8x + -35x2 -21w + -49wx = 3 + -8x + -35x2 Reorder the terms: -3 + -21w + -49wx + 8x + 35x2 = 3 + -8x + -35x2 + -3 + 8x + 35x2 Reorder the terms: -3 + -21w + -49wx + 8x + 35x2 = 3 + -3 + -8x + 8x + -35x2 + 35x2 Combine like terms: 3 + -3 = 0 -3 + -21w + -49wx + 8x + 35x2 = 0 + -8x + 8x + -35x2 + 35x2 -3 + -21w + -49wx + 8x + 35x2 = -8x + 8x + -35x2 + 35x2 Combine like terms: -8x + 8x = 0 -3 + -21w + -49wx + 8x + 35x2 = 0 + -35x2 + 35x2 -3 + -21w + -49wx + 8x + 35x2 = -35x2 + 35x2 Combine like terms: -35x2 + 35x2 = 0 -3 + -21w + -49wx + 8x + 35x2 = 0 The solution to this equation could not be determined.
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