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Simplifying (4x + -4w + 7)(x + -4) = 0 Reorder the terms: (7 + -4w + 4x)(x + -4) = 0 Reorder the terms: (7 + -4w + 4x)(-4 + x) = 0 Multiply (7 + -4w + 4x) * (-4 + x) (7(-4 + x) + -4w * (-4 + x) + 4x * (-4 + x)) = 0 ((-4 * 7 + x * 7) + -4w * (-4 + x) + 4x * (-4 + x)) = 0 ((-28 + 7x) + -4w * (-4 + x) + 4x * (-4 + x)) = 0 (-28 + 7x + (-4 * -4w + x * -4w) + 4x * (-4 + x)) = 0 (-28 + 7x + (16w + -4wx) + 4x * (-4 + x)) = 0 (-28 + 7x + 16w + -4wx + (-4 * 4x + x * 4x)) = 0 (-28 + 7x + 16w + -4wx + (-16x + 4x2)) = 0 Reorder the terms: (-28 + 16w + -4wx + 7x + -16x + 4x2) = 0 Combine like terms: 7x + -16x = -9x (-28 + 16w + -4wx + -9x + 4x2) = 0 Solving -28 + 16w + -4wx + -9x + 4x2 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 16w + -4wx + -9x + 28 + 4x2 = 0 + 28 Reorder the terms: -28 + 28 + 16w + -4wx + -9x + 4x2 = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 16w + -4wx + -9x + 4x2 = 0 + 28 16w + -4wx + -9x + 4x2 = 0 + 28 Combine like terms: 0 + 28 = 28 16w + -4wx + -9x + 4x2 = 28 Add '9x' to each side of the equation. 16w + -4wx + -9x + 9x + 4x2 = 28 + 9x Combine like terms: -9x + 9x = 0 16w + -4wx + 0 + 4x2 = 28 + 9x 16w + -4wx + 4x2 = 28 + 9x Add '-4x2' to each side of the equation. 16w + -4wx + 4x2 + -4x2 = 28 + 9x + -4x2 Combine like terms: 4x2 + -4x2 = 0 16w + -4wx + 0 = 28 + 9x + -4x2 16w + -4wx = 28 + 9x + -4x2 Reorder the terms: -28 + 16w + -4wx + -9x + 4x2 = 28 + 9x + -4x2 + -28 + -9x + 4x2 Reorder the terms: -28 + 16w + -4wx + -9x + 4x2 = 28 + -28 + 9x + -9x + -4x2 + 4x2 Combine like terms: 28 + -28 = 0 -28 + 16w + -4wx + -9x + 4x2 = 0 + 9x + -9x + -4x2 + 4x2 -28 + 16w + -4wx + -9x + 4x2 = 9x + -9x + -4x2 + 4x2 Combine like terms: 9x + -9x = 0 -28 + 16w + -4wx + -9x + 4x2 = 0 + -4x2 + 4x2 -28 + 16w + -4wx + -9x + 4x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 -28 + 16w + -4wx + -9x + 4x2 = 0 The solution to this equation could not be determined.
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