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Simplifying (7x + 3w + -3)(5x + -2) = 0 Reorder the terms: (-3 + 3w + 7x)(5x + -2) = 0 Reorder the terms: (-3 + 3w + 7x)(-2 + 5x) = 0 Multiply (-3 + 3w + 7x) * (-2 + 5x) (-3(-2 + 5x) + 3w * (-2 + 5x) + 7x * (-2 + 5x)) = 0 ((-2 * -3 + 5x * -3) + 3w * (-2 + 5x) + 7x * (-2 + 5x)) = 0 ((6 + -15x) + 3w * (-2 + 5x) + 7x * (-2 + 5x)) = 0 (6 + -15x + (-2 * 3w + 5x * 3w) + 7x * (-2 + 5x)) = 0 (6 + -15x + (-6w + 15wx) + 7x * (-2 + 5x)) = 0 (6 + -15x + -6w + 15wx + (-2 * 7x + 5x * 7x)) = 0 (6 + -15x + -6w + 15wx + (-14x + 35x2)) = 0 Reorder the terms: (6 + -6w + 15wx + -15x + -14x + 35x2) = 0 Combine like terms: -15x + -14x = -29x (6 + -6w + 15wx + -29x + 35x2) = 0 Solving 6 + -6w + 15wx + -29x + 35x2 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6w + 15wx + -29x + -6 + 35x2 = 0 + -6 Reorder the terms: 6 + -6 + -6w + 15wx + -29x + 35x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -6w + 15wx + -29x + 35x2 = 0 + -6 -6w + 15wx + -29x + 35x2 = 0 + -6 Combine like terms: 0 + -6 = -6 -6w + 15wx + -29x + 35x2 = -6 Add '29x' to each side of the equation. -6w + 15wx + -29x + 29x + 35x2 = -6 + 29x Combine like terms: -29x + 29x = 0 -6w + 15wx + 0 + 35x2 = -6 + 29x -6w + 15wx + 35x2 = -6 + 29x Add '-35x2' to each side of the equation. -6w + 15wx + 35x2 + -35x2 = -6 + 29x + -35x2 Combine like terms: 35x2 + -35x2 = 0 -6w + 15wx + 0 = -6 + 29x + -35x2 -6w + 15wx = -6 + 29x + -35x2 Reorder the terms: 6 + -6w + 15wx + -29x + 35x2 = -6 + 29x + -35x2 + 6 + -29x + 35x2 Reorder the terms: 6 + -6w + 15wx + -29x + 35x2 = -6 + 6 + 29x + -29x + -35x2 + 35x2 Combine like terms: -6 + 6 = 0 6 + -6w + 15wx + -29x + 35x2 = 0 + 29x + -29x + -35x2 + 35x2 6 + -6w + 15wx + -29x + 35x2 = 29x + -29x + -35x2 + 35x2 Combine like terms: 29x + -29x = 0 6 + -6w + 15wx + -29x + 35x2 = 0 + -35x2 + 35x2 6 + -6w + 15wx + -29x + 35x2 = -35x2 + 35x2 Combine like terms: -35x2 + 35x2 = 0 6 + -6w + 15wx + -29x + 35x2 = 0 The solution to this equation could not be determined.
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