20x^2+43xy+14y^2=0

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Solution for 20x^2+43xy+14y^2=0 equation: 


Simplifying
20x2 + 43xy + 14y2 = 0

Reorder the terms:
43xy + 20x2 + 14y2 = 0

Solving
43xy + 20x2 + 14y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5x + 2y)(4x + 7y) = 0


Subproblem 1
Set the factor '(5x + 2y)' equal to zero and attempt to solve:

Simplifying
5x + 2y = 0

Solving
5x + 2y = 0

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

Add '-2y' to each side of the equation.
5x + 2y + -2y = 0 + -2y

Combine like terms: 2y + -2y = 0
5x + 0 = 0 + -2y
5x = 0 + -2y
Remove the zero:
5x = -2y

Divide each side by '5'.
x = -0.4y

Simplifying
x = -0.4y

Subproblem 2
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
Solution
x = {-0.4y, -1.75y}

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