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Simplifying
12x2 + 16 + -28 = 0
Reorder the terms:
16 + -28 + 12x2 = 0
Combine like terms: 16 + -28 = -12
-12 + 12x2 = 0
Solving
-12 + 12x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '12' to each side of the equation.
-12 + 12 + 12x2 = 0 + 12
Combine like terms: -12 + 12 = 0
0 + 12x2 = 0 + 12
12x2 = 0 + 12
Combine like terms: 0 + 12 = 12
12x2 = 12
Divide each side by '12'.
x2 = 1
Simplifying
x2 = 1
Take the square root of each side:
x = {-1, 1}
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