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Simplifying
6x2 + -22 + 12 = 0
Reorder the terms:
-22 + 12 + 6x2 = 0
Combine like terms: -22 + 12 = -10
-10 + 6x2 = 0
Solving
-10 + 6x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + 6x2 = 0 + 10
Combine like terms: -10 + 10 = 0
0 + 6x2 = 0 + 10
6x2 = 0 + 10
Combine like terms: 0 + 10 = 10
6x2 = 10
Divide each side by '6'.
x2 = 1.666666667
Simplifying
x2 = 1.666666667
Take the square root of each side:
x = {-1.290994449, 1.290994449}
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