10x^3y-8x^2y^2+22x^2y=0

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Solution for 10x^3y-8x^2y^2+22x^2y=0 equation:


Simplifying
10x3y + -8x2y2 + 22x2y = 0

Reorder the terms:
22x2y + -8x2y2 + 10x3y = 0

Solving
22x2y + -8x2y2 + 10x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2y'.
2x2y(11 + -4y + 5x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(11 + -4y + 5x)' equal to zero and attempt to solve: Simplifying 11 + -4y + 5x = 0 Reorder the terms: 11 + 5x + -4y = 0 Solving 11 + 5x + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 5x + -11 + -4y = 0 + -11 Reorder the terms: 11 + -11 + 5x + -4y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 5x + -4y = 0 + -11 5x + -4y = 0 + -11 Combine like terms: 0 + -11 = -11 5x + -4y = -11 Add '4y' to each side of the equation. 5x + -4y + 4y = -11 + 4y Combine like terms: -4y + 4y = 0 5x + 0 = -11 + 4y 5x = -11 + 4y Divide each side by '5'. x = -2.2 + 0.8y Simplifying x = -2.2 + 0.8y

Solution

x = {-2.2 + 0.8y}

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