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Simplifying (5x + 4)(4x + 7w + -6) = 0 Reorder the terms: (4 + 5x)(4x + 7w + -6) = 0 Reorder the terms: (4 + 5x)(-6 + 7w + 4x) = 0 Multiply (4 + 5x) * (-6 + 7w + 4x) (4(-6 + 7w + 4x) + 5x * (-6 + 7w + 4x)) = 0 ((-6 * 4 + 7w * 4 + 4x * 4) + 5x * (-6 + 7w + 4x)) = 0 ((-24 + 28w + 16x) + 5x * (-6 + 7w + 4x)) = 0 (-24 + 28w + 16x + (-6 * 5x + 7w * 5x + 4x * 5x)) = 0 Reorder the terms: (-24 + 28w + 16x + (35wx + -30x + 20x2)) = 0 (-24 + 28w + 16x + (35wx + -30x + 20x2)) = 0 Reorder the terms: (-24 + 28w + 35wx + 16x + -30x + 20x2) = 0 Combine like terms: 16x + -30x = -14x (-24 + 28w + 35wx + -14x + 20x2) = 0 Solving -24 + 28w + 35wx + -14x + 20x2 = 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 + 28w + 35wx + -14x + 24 + 20x2 = 0 + 24 Reorder the terms: -24 + 24 + 28w + 35wx + -14x + 20x2 = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 28w + 35wx + -14x + 20x2 = 0 + 24 28w + 35wx + -14x + 20x2 = 0 + 24 Combine like terms: 0 + 24 = 24 28w + 35wx + -14x + 20x2 = 24 Add '14x' to each side of the equation. 28w + 35wx + -14x + 14x + 20x2 = 24 + 14x Combine like terms: -14x + 14x = 0 28w + 35wx + 0 + 20x2 = 24 + 14x 28w + 35wx + 20x2 = 24 + 14x Add '-20x2' to each side of the equation. 28w + 35wx + 20x2 + -20x2 = 24 + 14x + -20x2 Combine like terms: 20x2 + -20x2 = 0 28w + 35wx + 0 = 24 + 14x + -20x2 28w + 35wx = 24 + 14x + -20x2 Reorder the terms: -24 + 28w + 35wx + -14x + 20x2 = 24 + 14x + -20x2 + -24 + -14x + 20x2 Reorder the terms: -24 + 28w + 35wx + -14x + 20x2 = 24 + -24 + 14x + -14x + -20x2 + 20x2 Combine like terms: 24 + -24 = 0 -24 + 28w + 35wx + -14x + 20x2 = 0 + 14x + -14x + -20x2 + 20x2 -24 + 28w + 35wx + -14x + 20x2 = 14x + -14x + -20x2 + 20x2 Combine like terms: 14x + -14x = 0 -24 + 28w + 35wx + -14x + 20x2 = 0 + -20x2 + 20x2 -24 + 28w + 35wx + -14x + 20x2 = -20x2 + 20x2 Combine like terms: -20x2 + 20x2 = 0 -24 + 28w + 35wx + -14x + 20x2 = 0 The solution to this equation could not be determined.
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