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Simplifying
11 + 49x2 = 47
Solving
11 + 49x2 = 47
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 + 49x2 = 47 + -11
Combine like terms: 11 + -11 = 0
0 + 49x2 = 47 + -11
49x2 = 47 + -11
Combine like terms: 47 + -11 = 36
49x2 = 36
Divide each side by '49'.
x2 = 0.7346938776
Simplifying
x2 = 0.7346938776
Take the square root of each side:
x = {-0.857142857, 0.857142857}
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