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Simplifying 5xy + 11x2 + -5yx + -4x + 6xy + -6x2 = 0 Reorder the terms: -4x + 5xy + -5xy + 6xy + 11x2 + -6x2 = 0 Combine like terms: 5xy + -5xy = 0 -4x + 0 + 6xy + 11x2 + -6x2 = 0 -4x + 6xy + 11x2 + -6x2 = 0 Combine like terms: 11x2 + -6x2 = 5x2 -4x + 6xy + 5x2 = 0 Solving -4x + 6xy + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-4 + 6y + 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 '(-4 + 6y + 5x)' equal to zero and attempt to solve: Simplifying -4 + 6y + 5x = 0 Reorder the terms: -4 + 5x + 6y = 0 Solving -4 + 5x + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 5x + 4 + 6y = 0 + 4 Reorder the terms: -4 + 4 + 5x + 6y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5x + 6y = 0 + 4 5x + 6y = 0 + 4 Combine like terms: 0 + 4 = 4 5x + 6y = 4 Add '-6y' to each side of the equation. 5x + 6y + -6y = 4 + -6y Combine like terms: 6y + -6y = 0 5x + 0 = 4 + -6y 5x = 4 + -6y Divide each side by '5'. x = 0.8 + -1.2y Simplifying x = 0.8 + -1.2ySolution
x = {0, 0.8 + -1.2y}
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