5x^2y+10x=0

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Solution for 5x^2y+10x=0 equation:


Simplifying
5x2y + 10x = 0

Reorder the terms:
10x + 5x2y = 0

Solving
10x + 5x2y = 0

Solving for variable 'x'.

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

Ignore the factor 5.

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 '(2 + xy)' equal to zero and attempt to solve: Simplifying 2 + xy = 0 Solving 2 + xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + xy = 0 + -2 Combine like terms: 2 + -2 = 0 0 + xy = 0 + -2 xy = 0 + -2 Combine like terms: 0 + -2 = -2 xy = -2 Divide each side by 'y'. x = -2y-1 Simplifying x = -2y-1

Solution

x = {0, -2y-1}

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