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Simplifying
7x2 + -3 + -11 = 0
Reorder the terms:
-3 + -11 + 7x2 = 0
Combine like terms: -3 + -11 = -14
-14 + 7x2 = 0
Solving
-14 + 7x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '14' to each side of the equation.
-14 + 14 + 7x2 = 0 + 14
Combine like terms: -14 + 14 = 0
0 + 7x2 = 0 + 14
7x2 = 0 + 14
Combine like terms: 0 + 14 = 14
7x2 = 14
Divide each side by '7'.
x2 = 2
Simplifying
x2 = 2
Take the square root of each side:
x = {-1.414213562, 1.414213562}
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