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Simplifying 5x2y + -4yx2 + 2x + -1x = 0 Reorder the terms: 2x + -1x + 5x2y + -4x2y = 0 Combine like terms: 2x + -1x = 1x 1x + 5x2y + -4x2y = 0 Combine like terms: 5x2y + -4x2y = 1x2y 1x + 1x2y = 0 Solving 1x + 1x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(1 + xy) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(1 + xy)' equal to zero and attempt to solve: Simplifying 1 + xy = 0 Solving 1 + xy = 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 + xy = 0 + -1 Combine like terms: 1 + -1 = 0 0 + xy = 0 + -1 xy = 0 + -1 Combine like terms: 0 + -1 = -1 xy = -1 Divide each side by 'y'. x = -1y-1 Simplifying x = -1y-1Solution
x = {0, -1y-1}
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