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Simplifying
x2 + x2 = 100
Combine like terms: x2 + x2 = 2x2
2x2 = 100
Solving
2x2 = 100
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '2'.
x2 = 50
Simplifying
x2 = 50
Take the square root of each side:
x = {-7.071067812, 7.071067812}
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