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Simplifying
82x2 + -49 = 0
Reorder the terms:
-49 + 82x2 = 0
Solving
-49 + 82x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '49' to each side of the equation.
-49 + 49 + 82x2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + 82x2 = 0 + 49
82x2 = 0 + 49
Combine like terms: 0 + 49 = 49
82x2 = 49
Divide each side by '82'.
x2 = 0.5975609756
Simplifying
x2 = 0.5975609756
Take the square root of each side:
x = {-0.773020683, 0.773020683}
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