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Simplifying 11xy + 2x2 + -10yx + -3x + 4xy + -3x2 = 0 Reorder the terms: -3x + 11xy + -10xy + 4xy + 2x2 + -3x2 = 0 Combine like terms: 11xy + -10xy = 1xy -3x + 1xy + 4xy + 2x2 + -3x2 = 0 Combine like terms: 1xy + 4xy = 5xy -3x + 5xy + 2x2 + -3x2 = 0 Combine like terms: 2x2 + -3x2 = -1x2 -3x + 5xy + -1x2 = 0 Solving -3x + 5xy + -1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-3 + 5y + -1x) = 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 '(-3 + 5y + -1x)' equal to zero and attempt to solve: Simplifying -3 + 5y + -1x = 0 Reorder the terms: -3 + -1x + 5y = 0 Solving -3 + -1x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -1x + 3 + 5y = 0 + 3 Reorder the terms: -3 + 3 + -1x + 5y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x + 5y = 0 + 3 -1x + 5y = 0 + 3 Combine like terms: 0 + 3 = 3 -1x + 5y = 3 Add '-5y' to each side of the equation. -1x + 5y + -5y = 3 + -5y Combine like terms: 5y + -5y = 0 -1x + 0 = 3 + -5y -1x = 3 + -5y Divide each side by '-1'. x = -3 + 5y Simplifying x = -3 + 5ySolution
x = {0, -3 + 5y}
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