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Simplifying 3x2 + -20xy + 40xy2 = 0 Reorder the terms: -20xy + 40xy2 + 3x2 = 0 Solving -20xy + 40xy2 + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-20y + 40y2 + 3x) = 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 '(-20y + 40y2 + 3x)' equal to zero and attempt to solve: Simplifying -20y + 40y2 + 3x = 0 Reorder the terms: 3x + -20y + 40y2 = 0 Solving 3x + -20y + 40y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '20y' to each side of the equation. 3x + -20y + 20y + 40y2 = 0 + 20y Combine like terms: -20y + 20y = 0 3x + 0 + 40y2 = 0 + 20y 3x + 40y2 = 0 + 20y Remove the zero: 3x + 40y2 = 20y Add '-40y2' to each side of the equation. 3x + 40y2 + -40y2 = 20y + -40y2 Combine like terms: 40y2 + -40y2 = 0 3x + 0 = 20y + -40y2 3x = 20y + -40y2 Divide each side by '3'. x = 6.666666667y + -13.33333333y2 Simplifying x = 6.666666667y + -13.33333333y2Solution
x = {0, 6.666666667y + -13.33333333y2}
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