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Simplifying
12x2 + -47 + 11 = 0
Reorder the terms:
-47 + 11 + 12x2 = 0
Combine like terms: -47 + 11 = -36
-36 + 12x2 = 0
Solving
-36 + 12x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '36' to each side of the equation.
-36 + 36 + 12x2 = 0 + 36
Combine like terms: -36 + 36 = 0
0 + 12x2 = 0 + 36
12x2 = 0 + 36
Combine like terms: 0 + 36 = 36
12x2 = 36
Divide each side by '12'.
x2 = 3
Simplifying
x2 = 3
Take the square root of each side:
x = {-1.732050808, 1.732050808}
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