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Simplifying
5x2 + 3y2 + 3(x2 + -1y2) = 0
5x2 + 3y2 + (x2 * 3 + -1y2 * 3) = 0
5x2 + 3y2 + (3x2 + -3y2) = 0
Reorder the terms:
5x2 + 3x2 + 3y2 + -3y2 = 0
Combine like terms: 5x2 + 3x2 = 8x2
8x2 + 3y2 + -3y2 = 0
Combine like terms: 3y2 + -3y2 = 0
8x2 + 0 = 0
8x2 = 0
Solving
8x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '8'.
x2 = 0
Simplifying
x2 = 0
Take the square root of each side:
x = {0}
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