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Simplifying
4(x * x) + -9(y * y) = 0
Multiply x * x
4(x2) + -9(y * y) = 0
Multiply y * y
4x2 + -9(y2) = 0
Solving
4x2 + -9y2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9y2' to each side of the equation.
4x2 + -9y2 + 9y2 = 0 + 9y2
Combine like terms: -9y2 + 9y2 = 0
4x2 + 0 = 0 + 9y2
4x2 = 0 + 9y2
Remove the zero:
4x2 = 9y2
Divide each side by '4'.
x2 = 2.25y2
Simplifying
x2 = 2.25y2
Take the square root of each side:
x = {-1.5y, 1.5y}
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