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Simplifying
7x2 + -11 = 0
Reorder the terms:
-11 + 7x2 = 0
Solving
-11 + 7x2 = 0
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 + 7x2 = 0 + 11
Combine like terms: -11 + 11 = 0
0 + 7x2 = 0 + 11
7x2 = 0 + 11
Combine like terms: 0 + 11 = 11
7x2 = 11
Divide each side by '7'.
x2 = 1.571428571
Simplifying
x2 = 1.571428571
Take the square root of each side:
x = {-1.253566341, 1.253566341}
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