10x^2y^3+12xy^4=0

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Solution for 10x^2y^3+12xy^4=0 equation:


Simplifying
10x2y3 + 12xy4 = 0

Reorder the terms:
12xy4 + 10x2y3 = 0

Solving
12xy4 + 10x2y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2xy3'.
2xy3(6y + 5x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'xy3' equal to zero and attempt to solve: Simplifying xy3 = 0 Solving xy3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy3 = 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 '(6y + 5x)' equal to zero and attempt to solve: Simplifying 6y + 5x = 0 Reorder the terms: 5x + 6y = 0 Solving 5x + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 5x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 5x + 0 = 0 + -6y 5x = 0 + -6y Remove the zero: 5x = -6y Divide each side by '5'. x = -1.2y Simplifying x = -1.2y

Solution

x = {-1.2y}

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