12x^2-29xy+14y^2=0

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Solution for 12x^2-29xy+14y^2=0 equation: 


Simplifying
12x2 + -29xy + 14y2 = 0

Reorder the terms:
-29xy + 12x2 + 14y2 = 0

Solving
-29xy + 12x2 + 14y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4x + -7y)(3x + -2y) = 0


Subproblem 1
Set the factor '(4x + -7y)' equal to zero and attempt to solve:

Simplifying
4x + -7y = 0

Solving
4x + -7y = 0

Move all terms containing x to the left, all other terms to the right.

Add '7y' to each side of the equation.
4x + -7y + 7y = 0 + 7y

Combine like terms: -7y + 7y = 0
4x + 0 = 0 + 7y
4x = 0 + 7y
Remove the zero:
4x = 7y

Divide each side by '4'.
x = 1.75y

Simplifying
x = 1.75y

Subproblem 2
Set the factor '(3x + -2y)' equal to zero and attempt to solve:

Simplifying
3x + -2y = 0

Solving
3x + -2y = 0

Move all terms containing x to the left, all other terms to the right.

Add '2y' to each side of the equation.
3x + -2y + 2y = 0 + 2y

Combine like terms: -2y + 2y = 0
3x + 0 = 0 + 2y
3x = 0 + 2y
Remove the zero:
3x = 2y

Divide each side by '3'.
x = 0.6666666667y

Simplifying
x = 0.6666666667y
Solution
x = {1.75y, 0.6666666667y}

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