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Simplifying
9y2 + -1(6x2 + -5y2) + -8x2 = 0
9y2 + (6x2 * -1 + -5y2 * -1) + -8x2 = 0
9y2 + (-6x2 + 5y2) + -8x2 = 0
Reorder the terms:
-6x2 + -8x2 + 9y2 + 5y2 = 0
Combine like terms: -6x2 + -8x2 = -14x2
-14x2 + 9y2 + 5y2 = 0
Combine like terms: 9y2 + 5y2 = 14y2
-14x2 + 14y2 = 0
Solving
-14x2 + 14y2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-14y2' to each side of the equation.
-14x2 + 14y2 + -14y2 = 0 + -14y2
Combine like terms: 14y2 + -14y2 = 0
-14x2 + 0 = 0 + -14y2
-14x2 = 0 + -14y2
Remove the zero:
-14x2 = -14y2
Divide each side by '-14'.
x2 = y2
Simplifying
x2 = y2
Take the square root of each side:
x = {-1y, y}
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