3x^3y^2-4x^2y^3-10x^3y^2=

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Solution for 3x^3y^2-4x^2y^3-10x^3y^2= equation:


Simplifying
3x3y2 + -4x2y3 + -10x3y2 = 0

Reorder the terms:
-4x2y3 + 3x3y2 + -10x3y2 = 0

Combine like terms: 3x3y2 + -10x3y2 = -7x3y2
-4x2y3 + -7x3y2 = 0

Solving
-4x2y3 + -7x3y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1x2y2'.
-1x2y2(4y + 7x) = 0

Ignore the factor -1.

Subproblem 1

Set the factor 'x2y2' equal to zero and attempt to solve: Simplifying x2y2 = 0 Solving x2y2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y2 = 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 '(4y + 7x)' equal to zero and attempt to solve: Simplifying 4y + 7x = 0 Reorder the terms: 7x + 4y = 0 Solving 7x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 7x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 7x + 0 = 0 + -4y 7x = 0 + -4y Remove the zero: 7x = -4y Divide each side by '7'. x = -0.5714285714y Simplifying x = -0.5714285714y

Solution

x = {-0.5714285714y}

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