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Simplifying 5x2y + 3x + -1x2y + -5x + 2x2y = 0 Reorder the terms: 3x + -5x + 5x2y + -1x2y + 2x2y = 0 Combine like terms: 3x + -5x = -2x -2x + 5x2y + -1x2y + 2x2y = 0 Combine like terms: 5x2y + -1x2y = 4x2y -2x + 4x2y + 2x2y = 0 Combine like terms: 4x2y + 2x2y = 6x2y -2x + 6x2y = 0 Solving -2x + 6x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-1 + 3xy) = 0 Ignore the factor 2.Subproblem 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 + 3xy)' equal to zero and attempt to solve: Simplifying -1 + 3xy = 0 Solving -1 + 3xy = 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 + 3xy = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3xy = 0 + 1 3xy = 0 + 1 Combine like terms: 0 + 1 = 1 3xy = 1 Divide each side by '3y'. x = 0.3333333333y-1 Simplifying x = 0.3333333333y-1Solution
x = {0, 0.3333333333y-1}
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