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Simplifying
16x2 + -32 = 0
Reorder the terms:
-32 + 16x2 = 0
Solving
-32 + 16x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '32' to each side of the equation.
-32 + 32 + 16x2 = 0 + 32
Combine like terms: -32 + 32 = 0
0 + 16x2 = 0 + 32
16x2 = 0 + 32
Combine like terms: 0 + 32 = 32
16x2 = 32
Divide each side by '16'.
x2 = 2
Simplifying
x2 = 2
Take the square root of each side:
x = {-1.414213562, 1.414213562}
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