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Simplifying x2 + -1xy + -10xy2 = 0 Reorder the terms: -1xy + -10xy2 + x2 = 0 Solving -1xy + -10xy2 + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-1y + -10y2 + x) = 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 '(-1y + -10y2 + x)' equal to zero and attempt to solve: Simplifying -1y + -10y2 + x = 0 Reorder the terms: x + -1y + -10y2 = 0 Solving x + -1y + -10y2 = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. x + -1y + y + -10y2 = 0 + y Combine like terms: -1y + y = 0 x + 0 + -10y2 = 0 + y x + -10y2 = 0 + y Remove the zero: x + -10y2 = y Add '10y2' to each side of the equation. x + -10y2 + 10y2 = y + 10y2 Combine like terms: -10y2 + 10y2 = 0 x + 0 = y + 10y2 x = y + 10y2 Simplifying x = y + 10y2Solution
x = {0, y + 10y2}
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