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Simplifying x2 + -14xy + 24xy2 = 0 Reorder the terms: -14xy + 24xy2 + x2 = 0 Solving -14xy + 24xy2 + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-14y + 24y2 + 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 '(-14y + 24y2 + x)' equal to zero and attempt to solve: Simplifying -14y + 24y2 + x = 0 Reorder the terms: x + -14y + 24y2 = 0 Solving x + -14y + 24y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '14y' to each side of the equation. x + -14y + 14y + 24y2 = 0 + 14y Combine like terms: -14y + 14y = 0 x + 0 + 24y2 = 0 + 14y x + 24y2 = 0 + 14y Remove the zero: x + 24y2 = 14y Add '-24y2' to each side of the equation. x + 24y2 + -24y2 = 14y + -24y2 Combine like terms: 24y2 + -24y2 = 0 x + 0 = 14y + -24y2 x = 14y + -24y2 Simplifying x = 14y + -24y2Solution
x = {0, 14y + -24y2}
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