7x^2+36xy+5x^2=0

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Solution for 7x^2+36xy+5x^2=0 equation: 


Simplifying
7x2 + 36xy + 5x2 = 0

Reorder the terms:
36xy + 7x2 + 5x2 = 0

Combine like terms: 7x2 + 5x2 = 12x2
36xy + 12x2 = 0

Solving
36xy + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12x'.
12x(3y + x) = 0

Ignore the factor 12.

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 '(3y + x)' equal to zero and attempt to solve:

Simplifying
3y + x = 0

Reorder the terms:
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 = {0, -3y}

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