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Simplifying
49x2 + -144 = 0
Reorder the terms:
-144 + 49x2 = 0
Solving
-144 + 49x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '144' to each side of the equation.
-144 + 144 + 49x2 = 0 + 144
Combine like terms: -144 + 144 = 0
0 + 49x2 = 0 + 144
49x2 = 0 + 144
Combine like terms: 0 + 144 = 144
49x2 = 144
Divide each side by '49'.
x2 = 2.93877551
Simplifying
x2 = 2.93877551
Take the square root of each side:
x = {-1.714285714, 1.714285714}
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