2x^2+12xy+18y^2=0

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Solution for 2x^2+12xy+18y^2=0 equation:


Simplifying
2x2 + 12xy + 18y2 = 0

Reorder the terms:
12xy + 2x2 + 18y2 = 0

Solving
12xy + 2x2 + 18y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(6xy + x2 + 9y2) = 0

Factor a trinomial.
2((x + 3y)(x + 3y)) = 0

Ignore the factor 2.

Subproblem 1

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

Subproblem 2

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

Solution

x = {-3y, -3y}

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