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Simplifying (3x + -7w + -4)(5x + 6) = 0 Reorder the terms: (-4 + -7w + 3x)(5x + 6) = 0 Reorder the terms: (-4 + -7w + 3x)(6 + 5x) = 0 Multiply (-4 + -7w + 3x) * (6 + 5x) (-4(6 + 5x) + -7w * (6 + 5x) + 3x * (6 + 5x)) = 0 ((6 * -4 + 5x * -4) + -7w * (6 + 5x) + 3x * (6 + 5x)) = 0 ((-24 + -20x) + -7w * (6 + 5x) + 3x * (6 + 5x)) = 0 (-24 + -20x + (6 * -7w + 5x * -7w) + 3x * (6 + 5x)) = 0 (-24 + -20x + (-42w + -35wx) + 3x * (6 + 5x)) = 0 (-24 + -20x + -42w + -35wx + (6 * 3x + 5x * 3x)) = 0 (-24 + -20x + -42w + -35wx + (18x + 15x2)) = 0 Reorder the terms: (-24 + -42w + -35wx + -20x + 18x + 15x2) = 0 Combine like terms: -20x + 18x = -2x (-24 + -42w + -35wx + -2x + 15x2) = 0 Solving -24 + -42w + -35wx + -2x + 15x2 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '24' to each side of the equation. -24 + -42w + -35wx + -2x + 24 + 15x2 = 0 + 24 Reorder the terms: -24 + 24 + -42w + -35wx + -2x + 15x2 = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -42w + -35wx + -2x + 15x2 = 0 + 24 -42w + -35wx + -2x + 15x2 = 0 + 24 Combine like terms: 0 + 24 = 24 -42w + -35wx + -2x + 15x2 = 24 Add '2x' to each side of the equation. -42w + -35wx + -2x + 2x + 15x2 = 24 + 2x Combine like terms: -2x + 2x = 0 -42w + -35wx + 0 + 15x2 = 24 + 2x -42w + -35wx + 15x2 = 24 + 2x Add '-15x2' to each side of the equation. -42w + -35wx + 15x2 + -15x2 = 24 + 2x + -15x2 Combine like terms: 15x2 + -15x2 = 0 -42w + -35wx + 0 = 24 + 2x + -15x2 -42w + -35wx = 24 + 2x + -15x2 Reorder the terms: -24 + -42w + -35wx + -2x + 15x2 = 24 + 2x + -15x2 + -24 + -2x + 15x2 Reorder the terms: -24 + -42w + -35wx + -2x + 15x2 = 24 + -24 + 2x + -2x + -15x2 + 15x2 Combine like terms: 24 + -24 = 0 -24 + -42w + -35wx + -2x + 15x2 = 0 + 2x + -2x + -15x2 + 15x2 -24 + -42w + -35wx + -2x + 15x2 = 2x + -2x + -15x2 + 15x2 Combine like terms: 2x + -2x = 0 -24 + -42w + -35wx + -2x + 15x2 = 0 + -15x2 + 15x2 -24 + -42w + -35wx + -2x + 15x2 = -15x2 + 15x2 Combine like terms: -15x2 + 15x2 = 0 -24 + -42w + -35wx + -2x + 15x2 = 0 The solution to this equation could not be determined.
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