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Simplifying (4x2y4 + 2xy) + -1(6x2y4 + -3xy) = 0 Reorder the terms: (2xy + 4x2y4) + -1(6x2y4 + -3xy) = 0 Remove parenthesis around (2xy + 4x2y4) 2xy + 4x2y4 + -1(6x2y4 + -3xy) = 0 Reorder the terms: 2xy + 4x2y4 + -1(-3xy + 6x2y4) = 0 2xy + 4x2y4 + (-3xy * -1 + 6x2y4 * -1) = 0 2xy + 4x2y4 + (3xy + -6x2y4) = 0 Reorder the terms: 2xy + 3xy + 4x2y4 + -6x2y4 = 0 Combine like terms: 2xy + 3xy = 5xy 5xy + 4x2y4 + -6x2y4 = 0 Combine like terms: 4x2y4 + -6x2y4 = -2x2y4 5xy + -2x2y4 = 0 Solving 5xy + -2x2y4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(5 + -2xy3) = 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 '(5 + -2xy3)' equal to zero and attempt to solve: Simplifying 5 + -2xy3 = 0 Solving 5 + -2xy3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2xy3 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2xy3 = 0 + -5 -2xy3 = 0 + -5 Combine like terms: 0 + -5 = -5 -2xy3 = -5 Divide each side by '-2y3'. x = 2.5y-3 Simplifying x = 2.5y-3Solution
x = {2.5y-3}
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