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Simplifying 6x2 * y2 + 3xy = 0 Multiply x2 * y2 6x2y2 + 3xy = 0 Reorder the terms: 3xy + 6x2y2 = 0 Solving 3xy + 6x2y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3xy'. 3xy(1 + 2xy) = 0 Ignore the factor 3.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 '(1 + 2xy)' equal to zero and attempt to solve: Simplifying 1 + 2xy = 0 Solving 1 + 2xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2xy = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2xy = 0 + -1 2xy = 0 + -1 Combine like terms: 0 + -1 = -1 2xy = -1 Divide each side by '2y'. x = -0.5y-1 Simplifying x = -0.5y-1Solution
x = {-0.5y-1}
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