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Simplifying (2y + -3)(7y + 4w + 7) = 0 Reorder the terms: (-3 + 2y)(7y + 4w + 7) = 0 Reorder the terms: (-3 + 2y)(7 + 4w + 7y) = 0 Multiply (-3 + 2y) * (7 + 4w + 7y) (-3(7 + 4w + 7y) + 2y * (7 + 4w + 7y)) = 0 ((7 * -3 + 4w * -3 + 7y * -3) + 2y * (7 + 4w + 7y)) = 0 ((-21 + -12w + -21y) + 2y * (7 + 4w + 7y)) = 0 (-21 + -12w + -21y + (7 * 2y + 4w * 2y + 7y * 2y)) = 0 Reorder the terms: (-21 + -12w + -21y + (8wy + 14y + 14y2)) = 0 (-21 + -12w + -21y + (8wy + 14y + 14y2)) = 0 Reorder the terms: (-21 + -12w + 8wy + -21y + 14y + 14y2) = 0 Combine like terms: -21y + 14y = -7y (-21 + -12w + 8wy + -7y + 14y2) = 0 Solving -21 + -12w + 8wy + -7y + 14y2 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '21' to each side of the equation. -21 + -12w + 8wy + -7y + 21 + 14y2 = 0 + 21 Reorder the terms: -21 + 21 + -12w + 8wy + -7y + 14y2 = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -12w + 8wy + -7y + 14y2 = 0 + 21 -12w + 8wy + -7y + 14y2 = 0 + 21 Combine like terms: 0 + 21 = 21 -12w + 8wy + -7y + 14y2 = 21 Add '7y' to each side of the equation. -12w + 8wy + -7y + 7y + 14y2 = 21 + 7y Combine like terms: -7y + 7y = 0 -12w + 8wy + 0 + 14y2 = 21 + 7y -12w + 8wy + 14y2 = 21 + 7y Add '-14y2' to each side of the equation. -12w + 8wy + 14y2 + -14y2 = 21 + 7y + -14y2 Combine like terms: 14y2 + -14y2 = 0 -12w + 8wy + 0 = 21 + 7y + -14y2 -12w + 8wy = 21 + 7y + -14y2 Reorder the terms: -21 + -12w + 8wy + -7y + 14y2 = 21 + 7y + -14y2 + -21 + -7y + 14y2 Reorder the terms: -21 + -12w + 8wy + -7y + 14y2 = 21 + -21 + 7y + -7y + -14y2 + 14y2 Combine like terms: 21 + -21 = 0 -21 + -12w + 8wy + -7y + 14y2 = 0 + 7y + -7y + -14y2 + 14y2 -21 + -12w + 8wy + -7y + 14y2 = 7y + -7y + -14y2 + 14y2 Combine like terms: 7y + -7y = 0 -21 + -12w + 8wy + -7y + 14y2 = 0 + -14y2 + 14y2 -21 + -12w + 8wy + -7y + 14y2 = -14y2 + 14y2 Combine like terms: -14y2 + 14y2 = 0 -21 + -12w + 8wy + -7y + 14y2 = 0 The solution to this equation could not be determined.
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