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Simplifying Yx(x + 4y) = 0 (x * xY + 4y * xY) = 0 Reorder the terms: (4xyY + x2Y) = 0 (4xyY + x2Y) = 0 Solving 4xyY + x2Y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xY'. xY(4y + x) = 0Subproblem 1
Set the factor 'xY' equal to zero and attempt to solve: Simplifying xY = 0 Solving xY = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xY = 0 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 '(4y + x)' equal to zero and attempt to solve: Simplifying 4y + x = 0 Reorder the terms: x + 4y = 0 Solving x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 x + 0 = 0 + -4y x = 0 + -4y Remove the zero: x = -4y Simplifying x = -4ySolution
x = {-4y}
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