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Simplifying
6x2 + 2 + -6 = 0
Reorder the terms:
2 + -6 + 6x2 = 0
Combine like terms: 2 + -6 = -4
-4 + 6x2 = 0
Solving
-4 + 6x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 6x2 = 0 + 4
Combine like terms: -4 + 4 = 0
0 + 6x2 = 0 + 4
6x2 = 0 + 4
Combine like terms: 0 + 4 = 4
6x2 = 4
Divide each side by '6'.
x2 = 0.6666666667
Simplifying
x2 = 0.6666666667
Take the square root of each side:
x = {-0.816496581, 0.816496581}
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