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Simplifying
2x2 + -338 = 0
Reorder the terms:
-338 + 2x2 = 0
Solving
-338 + 2x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '338' to each side of the equation.
-338 + 338 + 2x2 = 0 + 338
Combine like terms: -338 + 338 = 0
0 + 2x2 = 0 + 338
2x2 = 0 + 338
Combine like terms: 0 + 338 = 338
2x2 = 338
Divide each side by '2'.
x2 = 169
Simplifying
x2 = 169
Take the square root of each side:
x = {-13, 13}
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