3x^2+3xy-168y^2=0

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Solution for 3x^2+3xy-168y^2=0 equation: 


Simplifying
3x2 + 3xy + -168y2 = 0

Reorder the terms:
3xy + 3x2 + -168y2 = 0

Solving
3xy + 3x2 + -168y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(xy + x2 + -56y2) = 0

Factor a trinomial.
3((x + -7y)(x + 8y)) = 0

Ignore the factor 3.

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

Simplifying
x + -7y = 0

Solving
x + -7y = 0

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

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

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

Simplifying
x = 7y

Subproblem 2
Set the factor '(x + 8y)' equal to zero and attempt to solve:

Simplifying
x + 8y = 0

Solving
x + 8y = 0

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

Add '-8y' to each side of the equation.
x + 8y + -8y = 0 + -8y

Combine like terms: 8y + -8y = 0
x + 0 = 0 + -8y
x = 0 + -8y
Remove the zero:
x = -8y

Simplifying
x = -8y
Solution
x = {7y, -8y}

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