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Simplifying 3xy + -8x2 + 2yx + -4x2 = 0 Reorder the terms: 3xy + 2xy + -8x2 + -4x2 = 0 Combine like terms: 3xy + 2xy = 5xy 5xy + -8x2 + -4x2 = 0 Combine like terms: -8x2 + -4x2 = -12x2 5xy + -12x2 = 0 Solving 5xy + -12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(5y + -12x) = 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 '(5y + -12x)' equal to zero and attempt to solve: Simplifying 5y + -12x = 0 Reorder the terms: -12x + 5y = 0 Solving -12x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. -12x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 -12x + 0 = 0 + -5y -12x = 0 + -5y Remove the zero: -12x = -5y Divide each side by '-12'. x = 0.4166666667y Simplifying x = 0.4166666667ySolution
x = {0, 0.4166666667y}
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