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Simplifying
2x2 + -11 = 6
Reorder the terms:
-11 + 2x2 = 6
Solving
-11 + 2x2 = 6
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '11' to each side of the equation.
-11 + 11 + 2x2 = 6 + 11
Combine like terms: -11 + 11 = 0
0 + 2x2 = 6 + 11
2x2 = 6 + 11
Combine like terms: 6 + 11 = 17
2x2 = 17
Divide each side by '2'.
x2 = 8.5
Simplifying
x2 = 8.5
Take the square root of each side:
x = {-2.915475947, 2.915475947}
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