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Simplifying
6x2 + -48 + 12 = 0
Reorder the terms:
-48 + 12 + 6x2 = 0
Combine like terms: -48 + 12 = -36
-36 + 6x2 = 0
Solving
-36 + 6x2 = 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 + 6x2 = 0 + 36
Combine like terms: -36 + 36 = 0
0 + 6x2 = 0 + 36
6x2 = 0 + 36
Combine like terms: 0 + 36 = 36
6x2 = 36
Divide each side by '6'.
x2 = 6
Simplifying
x2 = 6
Take the square root of each side:
x = {-2.449489743, 2.449489743}
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