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Simplifying
6x2 + -11 + -7 = 0
Reorder the terms:
-11 + -7 + 6x2 = 0
Combine like terms: -11 + -7 = -18
-18 + 6x2 = 0
Solving
-18 + 6x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '18' to each side of the equation.
-18 + 18 + 6x2 = 0 + 18
Combine like terms: -18 + 18 = 0
0 + 6x2 = 0 + 18
6x2 = 0 + 18
Combine like terms: 0 + 18 = 18
6x2 = 18
Divide each side by '6'.
x2 = 3
Simplifying
x2 = 3
Take the square root of each side:
x = {-1.732050808, 1.732050808}
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