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Simplifying 20xy + -4y(2x + -1x(3y + 5x)) = 0 Reorder the terms: 20xy + -4y(2x + -1x(5x + 3y)) = 0 20xy + -4y(2x + (5x * -1x + 3y * -1x)) = 0 Reorder the terms: 20xy + -4y(2x + (-3xy + -5x2)) = 0 20xy + -4y(2x + (-3xy + -5x2)) = 0 20xy + (2x * -4y + -3xy * -4y + -5x2 * -4y) = 0 20xy + (-8xy + 12xy2 + 20x2y) = 0 Combine like terms: 20xy + -8xy = 12xy 12xy + 12xy2 + 20x2y = 0 Solving 12xy + 12xy2 + 20x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4xy'. 4xy(3 + 3y + 5x) = 0 Ignore the factor 4.Subproblem 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 '(3 + 3y + 5x)' equal to zero and attempt to solve: Simplifying 3 + 3y + 5x = 0 Reorder the terms: 3 + 5x + 3y = 0 Solving 3 + 5x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 5x + -3 + 3y = 0 + -3 Reorder the terms: 3 + -3 + 5x + 3y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x + 3y = 0 + -3 5x + 3y = 0 + -3 Combine like terms: 0 + -3 = -3 5x + 3y = -3 Add '-3y' to each side of the equation. 5x + 3y + -3y = -3 + -3y Combine like terms: 3y + -3y = 0 5x + 0 = -3 + -3y 5x = -3 + -3y Divide each side by '5'. x = -0.6 + -0.6y Simplifying x = -0.6 + -0.6ySolution
x = {-0.6 + -0.6y}
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