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Simplifying
6x2 + -34 + 20 = 0
Reorder the terms:
-34 + 20 + 6x2 = 0
Combine like terms: -34 + 20 = -14
-14 + 6x2 = 0
Solving
-14 + 6x2 = 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 + 6x2 = 0 + 14
Combine like terms: -14 + 14 = 0
0 + 6x2 = 0 + 14
6x2 = 0 + 14
Combine like terms: 0 + 14 = 14
6x2 = 14
Divide each side by '6'.
x2 = 2.333333333
Simplifying
x2 = 2.333333333
Take the square root of each side:
x = {-1.527525232, 1.527525232}
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