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Simplifying 5xy + 6x2 + -2yx + -8x + 2xy + -11x2 = 0 Reorder the terms: -8x + 5xy + -2xy + 2xy + 6x2 + -11x2 = 0 Combine like terms: 5xy + -2xy = 3xy -8x + 3xy + 2xy + 6x2 + -11x2 = 0 Combine like terms: 3xy + 2xy = 5xy -8x + 5xy + 6x2 + -11x2 = 0 Combine like terms: 6x2 + -11x2 = -5x2 -8x + 5xy + -5x2 = 0 Solving -8x + 5xy + -5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-8 + 5y + -5x) = 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 '(-8 + 5y + -5x)' equal to zero and attempt to solve: Simplifying -8 + 5y + -5x = 0 Reorder the terms: -8 + -5x + 5y = 0 Solving -8 + -5x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -5x + 8 + 5y = 0 + 8 Reorder the terms: -8 + 8 + -5x + 5y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5x + 5y = 0 + 8 -5x + 5y = 0 + 8 Combine like terms: 0 + 8 = 8 -5x + 5y = 8 Add '-5y' to each side of the equation. -5x + 5y + -5y = 8 + -5y Combine like terms: 5y + -5y = 0 -5x + 0 = 8 + -5y -5x = 8 + -5y Divide each side by '-5'. x = -1.6 + y Simplifying x = -1.6 + ySolution
x = {0, -1.6 + y}
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