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Simplifying 10xy2(xy + xy + -1) = 0 Reorder the terms: 10xy2(-1 + xy + xy) = 0 Combine like terms: xy + xy = 2xy 10xy2(-1 + 2xy) = 0 (-1 * 10xy2 + 2xy * 10xy2) = 0 (-10xy2 + 20x2y3) = 0 Solving -10xy2 + 20x2y3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10xy2'. 10xy2(-1 + 2xy) = 0 Ignore the factor 10.Subproblem 1
Set the factor 'xy2' equal to zero and attempt to solve: Simplifying xy2 = 0 Solving xy2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy2 = 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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