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Simplifying [(x + 2y) + -3w][(x + -2y) + -3w] = 0 Remove parenthesis around (x + 2y) [x + 2y + -3w][(x + -2y) + -3w] = 0 Reorder the terms: [-3w + x + 2y][(x + -2y) + -3w] = 0 Remove parenthesis around (x + -2y) [-3w + x + 2y][x + -2y + -3w] = 0 Reorder the terms: [-3w + x + 2y][-3w + x + -2y] = 0 Multiply [-3w + x + 2y] * [-3w + x + -2y] [-3w * [-3w + x + -2y] + x[-3w + x + -2y] + 2y * [-3w + x + -2y]] = 0 [[-3w * -3w + x * -3w + -2y * -3w] + x[-3w + x + -2y] + 2y * [-3w + x + -2y]] = 0 Reorder the terms: [[-3wx + 6wy + 9w2] + x[-3w + x + -2y] + 2y * [-3w + x + -2y]] = 0 [[-3wx + 6wy + 9w2] + x[-3w + x + -2y] + 2y * [-3w + x + -2y]] = 0 [-3wx + 6wy + 9w2 + [-3w * x + x * x + -2y * x] + 2y * [-3w + x + -2y]] = 0 Reorder the terms: [-3wx + 6wy + 9w2 + [-3wx + -2xy + x2] + 2y * [-3w + x + -2y]] = 0 [-3wx + 6wy + 9w2 + [-3wx + -2xy + x2] + 2y * [-3w + x + -2y]] = 0 [-3wx + 6wy + 9w2 + -3wx + -2xy + x2 + [-3w * 2y + x * 2y + -2y * 2y]] = 0 [-3wx + 6wy + 9w2 + -3wx + -2xy + x2 + [-6wy + 2xy + -4y2]] = 0 Reorder the terms: [-3wx + -3wx + 6wy + -6wy + 9w2 + -2xy + 2xy + x2 + -4y2] = 0 Combine like terms: -3wx + -3wx = -6wx [-6wx + 6wy + -6wy + 9w2 + -2xy + 2xy + x2 + -4y2] = 0 Combine like terms: 6wy + -6wy = 0 [-6wx + 0 + 9w2 + -2xy + 2xy + x2 + -4y2] = 0 [-6wx + 9w2 + -2xy + 2xy + x2 + -4y2] = 0 Combine like terms: -2xy + 2xy = 0 [-6wx + 9w2 + 0 + x2 + -4y2] = 0 [-6wx + 9w2 + x2 + -4y2] = 0 Solving -6wx + 9w2 + x2 + -4y2 = 0 Solving for variable 'w'. The solution to this equation could not be determined.
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