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Simplifying (4y + -6w + 2)(y + -2) = 0 Reorder the terms: (2 + -6w + 4y)(y + -2) = 0 Reorder the terms: (2 + -6w + 4y)(-2 + y) = 0 Multiply (2 + -6w + 4y) * (-2 + y) (2(-2 + y) + -6w * (-2 + y) + 4y * (-2 + y)) = 0 ((-2 * 2 + y * 2) + -6w * (-2 + y) + 4y * (-2 + y)) = 0 ((-4 + 2y) + -6w * (-2 + y) + 4y * (-2 + y)) = 0 (-4 + 2y + (-2 * -6w + y * -6w) + 4y * (-2 + y)) = 0 (-4 + 2y + (12w + -6wy) + 4y * (-2 + y)) = 0 (-4 + 2y + 12w + -6wy + (-2 * 4y + y * 4y)) = 0 (-4 + 2y + 12w + -6wy + (-8y + 4y2)) = 0 Reorder the terms: (-4 + 12w + -6wy + 2y + -8y + 4y2) = 0 Combine like terms: 2y + -8y = -6y (-4 + 12w + -6wy + -6y + 4y2) = 0 Solving -4 + 12w + -6wy + -6y + 4y2 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 12w + -6wy + -6y + 4 + 4y2 = 0 + 4 Reorder the terms: -4 + 4 + 12w + -6wy + -6y + 4y2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 12w + -6wy + -6y + 4y2 = 0 + 4 12w + -6wy + -6y + 4y2 = 0 + 4 Combine like terms: 0 + 4 = 4 12w + -6wy + -6y + 4y2 = 4 Add '6y' to each side of the equation. 12w + -6wy + -6y + 6y + 4y2 = 4 + 6y Combine like terms: -6y + 6y = 0 12w + -6wy + 0 + 4y2 = 4 + 6y 12w + -6wy + 4y2 = 4 + 6y Add '-4y2' to each side of the equation. 12w + -6wy + 4y2 + -4y2 = 4 + 6y + -4y2 Combine like terms: 4y2 + -4y2 = 0 12w + -6wy + 0 = 4 + 6y + -4y2 12w + -6wy = 4 + 6y + -4y2 Reorder the terms: -4 + 12w + -6wy + -6y + 4y2 = 4 + 6y + -4y2 + -4 + -6y + 4y2 Reorder the terms: -4 + 12w + -6wy + -6y + 4y2 = 4 + -4 + 6y + -6y + -4y2 + 4y2 Combine like terms: 4 + -4 = 0 -4 + 12w + -6wy + -6y + 4y2 = 0 + 6y + -6y + -4y2 + 4y2 -4 + 12w + -6wy + -6y + 4y2 = 6y + -6y + -4y2 + 4y2 Combine like terms: 6y + -6y = 0 -4 + 12w + -6wy + -6y + 4y2 = 0 + -4y2 + 4y2 -4 + 12w + -6wy + -6y + 4y2 = -4y2 + 4y2 Combine like terms: -4y2 + 4y2 = 0 -4 + 12w + -6wy + -6y + 4y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + 6w + -3wy + -3y + 2y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + 6w + -3wy + -3y + 2y2)' equal to zero and attempt to solve: Simplifying -2 + 6w + -3wy + -3y + 2y2 = 0 Solving -2 + 6w + -3wy + -3y + 2y2 = 0 Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 6w + -3wy + -3y + 2 + 2y2 = 0 + 2 Reorder the terms: -2 + 2 + 6w + -3wy + -3y + 2y2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 6w + -3wy + -3y + 2y2 = 0 + 2 6w + -3wy + -3y + 2y2 = 0 + 2 Combine like terms: 0 + 2 = 2 6w + -3wy + -3y + 2y2 = 2 Add '3y' to each side of the equation. 6w + -3wy + -3y + 3y + 2y2 = 2 + 3y Combine like terms: -3y + 3y = 0 6w + -3wy + 0 + 2y2 = 2 + 3y 6w + -3wy + 2y2 = 2 + 3y Add '-2y2' to each side of the equation. 6w + -3wy + 2y2 + -2y2 = 2 + 3y + -2y2 Combine like terms: 2y2 + -2y2 = 0 6w + -3wy + 0 = 2 + 3y + -2y2 6w + -3wy = 2 + 3y + -2y2 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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