6x^2y+18x=0

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Solution for 6x^2y+18x=0 equation:


Simplifying
6x2y + 18x = 0

Reorder the terms:
18x + 6x2y = 0

Solving
18x + 6x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(3 + xy) = 0

Ignore the factor 6.

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 '(3 + xy)' equal to zero and attempt to solve: Simplifying 3 + xy = 0 Solving 3 + xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + xy = 0 + -3 Combine like terms: 3 + -3 = 0 0 + xy = 0 + -3 xy = 0 + -3 Combine like terms: 0 + -3 = -3 xy = -3 Divide each side by 'y'. x = -3y-1 Simplifying x = -3y-1

Solution

x = {0, -3y-1}

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