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Simplifying -1y(2y + 4x)(2w + y) = 0 Reorder the terms: -1y(4x + 2y)(2w + y) = 0 Multiply (4x + 2y) * (2w + y) -1y(4x * (2w + y) + 2y * (2w + y)) = 0 -1y((2w * 4x + y * 4x) + 2y * (2w + y)) = 0 -1y((8wx + 4xy) + 2y * (2w + y)) = 0 -1y(8wx + 4xy + (2w * 2y + y * 2y)) = 0 -1y(8wx + 4xy + (4wy + 2y2)) = 0 Reorder the terms: -1y(8wx + 4wy + 4xy + 2y2) = 0 -1y(8wx + 4wy + 4xy + 2y2) = 0 (8wx * -1y + 4wy * -1y + 4xy * -1y + 2y2 * -1y) = 0 (-8wxy + -4wy2 + -4xy2 + -2y3) = 0 Solving -8wxy + -4wy2 + -4xy2 + -2y3 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4xy2' to each side of the equation. -8wxy + -4wy2 + -4xy2 + 4xy2 + -2y3 = 0 + 4xy2 Combine like terms: -4xy2 + 4xy2 = 0 -8wxy + -4wy2 + 0 + -2y3 = 0 + 4xy2 -8wxy + -4wy2 + -2y3 = 0 + 4xy2 Remove the zero: -8wxy + -4wy2 + -2y3 = 4xy2 Add '2y3' to each side of the equation. -8wxy + -4wy2 + -2y3 + 2y3 = 4xy2 + 2y3 Combine like terms: -2y3 + 2y3 = 0 -8wxy + -4wy2 + 0 = 4xy2 + 2y3 -8wxy + -4wy2 = 4xy2 + 2y3 Reorder the terms: -8wxy + -4wy2 + -4xy2 + -2y3 = 4xy2 + -4xy2 + 2y3 + -2y3 Combine like terms: 4xy2 + -4xy2 = 0 -8wxy + -4wy2 + -4xy2 + -2y3 = 0 + 2y3 + -2y3 -8wxy + -4wy2 + -4xy2 + -2y3 = 2y3 + -2y3 Combine like terms: 2y3 + -2y3 = 0 -8wxy + -4wy2 + -4xy2 + -2y3 = 0 Factor out the Greatest Common Factor (GCF), '-2y'. -2y(4wx + 2wy + 2xy + y2) = 0 Ignore the factor -2.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing w to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(4wx + 2wy + 2xy + y2)' equal to zero and attempt to solve: Simplifying 4wx + 2wy + 2xy + y2 = 0 Solving 4wx + 2wy + 2xy + y2 = 0 Move all terms containing w to the left, all other terms to the right. Add '-2xy' to each side of the equation. 4wx + 2wy + 2xy + -2xy + y2 = 0 + -2xy Combine like terms: 2xy + -2xy = 0 4wx + 2wy + 0 + y2 = 0 + -2xy 4wx + 2wy + y2 = 0 + -2xy Remove the zero: 4wx + 2wy + y2 = -2xy Add '-1y2' to each side of the equation. 4wx + 2wy + y2 + -1y2 = -2xy + -1y2 Combine like terms: y2 + -1y2 = 0 4wx + 2wy + 0 = -2xy + -1y2 4wx + 2wy = -2xy + -1y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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