3x^2+4y^2+6x^2-9y^2=

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Solution for 3x^2+4y^2+6x^2-9y^2= equation: 


Simplifying
3x2 + 4y2 + 6x2 + -9y2 = 0

Reorder the terms:
3x2 + 6x2 + 4y2 + -9y2 = 0

Combine like terms: 3x2 + 6x2 = 9x2
9x2 + 4y2 + -9y2 = 0

Combine like terms: 4y2 + -9y2 = -5y2
9x2 + -5y2 = 0

Solving
9x2 + -5y2 = 0

Solving for variable 'x'.

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

Add '5y2' to each side of the equation.
9x2 + -5y2 + 5y2 = 0 + 5y2

Combine like terms: -5y2 + 5y2 = 0
9x2 + 0 = 0 + 5y2
9x2 = 0 + 5y2
Remove the zero:
9x2 = 5y2

Divide each side by '9'.
x2 = 0.5555555556y2

Simplifying
x2 = 0.5555555556y2

Take the square root of each side:
x = {-0.745355993y, 0.745355993y}

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