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Simplifying x2 + x(x + -1y) + 10xy = 0 x2 + (x * x + -1y * x) + 10xy = 0 Reorder the terms: x2 + (-1xy + x2) + 10xy = 0 x2 + (-1xy + x2) + 10xy = 0 Reorder the terms: -1xy + 10xy + x2 + x2 = 0 Combine like terms: -1xy + 10xy = 9xy 9xy + x2 + x2 = 0 Combine like terms: x2 + x2 = 2x2 9xy + 2x2 = 0 Solving 9xy + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(9y + 2x) = 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 '(9y + 2x)' equal to zero and attempt to solve: Simplifying 9y + 2x = 0 Reorder the terms: 2x + 9y = 0 Solving 2x + 9y = 0 Move all terms containing x to the left, all other terms to the right. Add '-9y' to each side of the equation. 2x + 9y + -9y = 0 + -9y Combine like terms: 9y + -9y = 0 2x + 0 = 0 + -9y 2x = 0 + -9y Remove the zero: 2x = -9y Divide each side by '2'. x = -4.5y Simplifying x = -4.5ySolution
x = {0, -4.5y}
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