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Simplifying
2x2 + -9 = 11
Reorder the terms:
-9 + 2x2 = 11
Solving
-9 + 2x2 = 11
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + 2x2 = 11 + 9
Combine like terms: -9 + 9 = 0
0 + 2x2 = 11 + 9
2x2 = 11 + 9
Combine like terms: 11 + 9 = 20
2x2 = 20
Divide each side by '2'.
x2 = 10
Simplifying
x2 = 10
Take the square root of each side:
x = {-3.16227766, 3.16227766}
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