x^2=6-x^2

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Solution for x^2=6-x^2 equation: 


Simplifying
x2 = 6 + -1x2

Solving
x2 = 6 + -1x2

Solving for variable 'x'.

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

Add 'x2' to each side of the equation.
x2 + x2 = 6 + -1x2 + x2

Combine like terms: x2 + x2 = 2x2
2x2 = 6 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
2x2 = 6 + 0
2x2 = 6

Divide each side by '2'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}

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