3x^2-23xy+40xy^2=0

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Solution for 3x^2-23xy+40xy^2=0 equation:


Simplifying
3x2 + -23xy + 40xy2 = 0

Reorder the terms:
-23xy + 40xy2 + 3x2 = 0

Solving
-23xy + 40xy2 + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-23y + 40y2 + 3x) = 0

Subproblem 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 = 0

Subproblem 2

Set the factor '(-23y + 40y2 + 3x)' equal to zero and attempt to solve: Simplifying -23y + 40y2 + 3x = 0 Reorder the terms: 3x + -23y + 40y2 = 0 Solving 3x + -23y + 40y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '23y' to each side of the equation. 3x + -23y + 23y + 40y2 = 0 + 23y Combine like terms: -23y + 23y = 0 3x + 0 + 40y2 = 0 + 23y 3x + 40y2 = 0 + 23y Remove the zero: 3x + 40y2 = 23y Add '-40y2' to each side of the equation. 3x + 40y2 + -40y2 = 23y + -40y2 Combine like terms: 40y2 + -40y2 = 0 3x + 0 = 23y + -40y2 3x = 23y + -40y2 Divide each side by '3'. x = 7.666666667y + -13.33333333y2 Simplifying x = 7.666666667y + -13.33333333y2

Solution

x = {0, 7.666666667y + -13.33333333y2}

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