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Simplifying (2x + 3w + -5)(3y + -1) = 0 Reorder the terms: (-5 + 3w + 2x)(3y + -1) = 0 Reorder the terms: (-5 + 3w + 2x)(-1 + 3y) = 0 Multiply (-5 + 3w + 2x) * (-1 + 3y) (-5(-1 + 3y) + 3w * (-1 + 3y) + 2x * (-1 + 3y)) = 0 ((-1 * -5 + 3y * -5) + 3w * (-1 + 3y) + 2x * (-1 + 3y)) = 0 ((5 + -15y) + 3w * (-1 + 3y) + 2x * (-1 + 3y)) = 0 (5 + -15y + (-1 * 3w + 3y * 3w) + 2x * (-1 + 3y)) = 0 (5 + -15y + (-3w + 9wy) + 2x * (-1 + 3y)) = 0 (5 + -15y + -3w + 9wy + (-1 * 2x + 3y * 2x)) = 0 (5 + -15y + -3w + 9wy + (-2x + 6xy)) = 0 Reorder the terms: (5 + -3w + 9wy + -2x + 6xy + -15y) = 0 (5 + -3w + 9wy + -2x + 6xy + -15y) = 0 Solving 5 + -3w + 9wy + -2x + 6xy + -15y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -3w + 9wy + -2x + 6xy + -5 + -15y = 0 + -5 Reorder the terms: 5 + -5 + -3w + 9wy + -2x + 6xy + -15y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3w + 9wy + -2x + 6xy + -15y = 0 + -5 -3w + 9wy + -2x + 6xy + -15y = 0 + -5 Combine like terms: 0 + -5 = -5 -3w + 9wy + -2x + 6xy + -15y = -5 Add '2x' to each side of the equation. -3w + 9wy + -2x + 6xy + 2x + -15y = -5 + 2x Reorder the terms: -3w + 9wy + -2x + 2x + 6xy + -15y = -5 + 2x Combine like terms: -2x + 2x = 0 -3w + 9wy + 0 + 6xy + -15y = -5 + 2x -3w + 9wy + 6xy + -15y = -5 + 2x Add '-6xy' to each side of the equation. -3w + 9wy + 6xy + -6xy + -15y = -5 + 2x + -6xy Combine like terms: 6xy + -6xy = 0 -3w + 9wy + 0 + -15y = -5 + 2x + -6xy -3w + 9wy + -15y = -5 + 2x + -6xy Add '15y' to each side of the equation. -3w + 9wy + -15y + 15y = -5 + 2x + -6xy + 15y Combine like terms: -15y + 15y = 0 -3w + 9wy + 0 = -5 + 2x + -6xy + 15y -3w + 9wy = -5 + 2x + -6xy + 15y Reorder the terms: 5 + -3w + 9wy + -2x + 6xy + -15y = -5 + 2x + -6xy + 15y + 5 + -2x + 6xy + -15y Reorder the terms: 5 + -3w + 9wy + -2x + 6xy + -15y = -5 + 5 + 2x + -2x + -6xy + 6xy + 15y + -15y Combine like terms: -5 + 5 = 0 5 + -3w + 9wy + -2x + 6xy + -15y = 0 + 2x + -2x + -6xy + 6xy + 15y + -15y 5 + -3w + 9wy + -2x + 6xy + -15y = 2x + -2x + -6xy + 6xy + 15y + -15y Combine like terms: 2x + -2x = 0 5 + -3w + 9wy + -2x + 6xy + -15y = 0 + -6xy + 6xy + 15y + -15y 5 + -3w + 9wy + -2x + 6xy + -15y = -6xy + 6xy + 15y + -15y Combine like terms: -6xy + 6xy = 0 5 + -3w + 9wy + -2x + 6xy + -15y = 0 + 15y + -15y 5 + -3w + 9wy + -2x + 6xy + -15y = 15y + -15y Combine like terms: 15y + -15y = 0 5 + -3w + 9wy + -2x + 6xy + -15y = 0 The solution to this equation could not be determined.
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