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Simplifying 5x2y + 6x + 3x2y + -2x = 0 Reorder the terms: 6x + -2x + 5x2y + 3x2y = 0 Combine like terms: 6x + -2x = 4x 4x + 5x2y + 3x2y = 0 Combine like terms: 5x2y + 3x2y = 8x2y 4x + 8x2y = 0 Solving 4x + 8x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(1 + 2xy) = 0 Ignore the factor 4.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 + 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, -0.5y-1}
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