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Simplifying
12x2 + 16(-12) + 48 = 0
Multiply 16 * -12
12x2 + -192 + 48 = 0
Reorder the terms:
-192 + 48 + 12x2 = 0
Combine like terms: -192 + 48 = -144
-144 + 12x2 = 0
Solving
-144 + 12x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '144' to each side of the equation.
-144 + 144 + 12x2 = 0 + 144
Combine like terms: -144 + 144 = 0
0 + 12x2 = 0 + 144
12x2 = 0 + 144
Combine like terms: 0 + 144 = 144
12x2 = 144
Divide each side by '12'.
x2 = 12
Simplifying
x2 = 12
Take the square root of each side:
x = {-3.464101615, 3.464101615}
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