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(-2x-1)^2=0 How to solve brackets, please help

User Asharajay
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2 Answers

3 votes
All you have to know is
( a + b )² = ( a + b ) ( a + b )
In this case,
Since "a" is negative, make it into positive for easier simplification.

(-2x-1)² = 0
-(2x+1)² = 0
-[(2x+1) (2x+1)] = 0
Negative got eliminated when divided to 0
Thus,
x = -1/2 , x = -1/2









User Jure Kolenko
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7.7k points
0 votes
not quite sure what you mean by brackets, but you can get the solution to this equation in a few steps:

(-2x - 1)² = 0 ... square root both sides to eliminate the squared binomial
√(-2x - 1)² = √0 ... simplify; the square is canceled out and the root of 0 brings you back to 0
-2x - 1 = 0 ... solve like a two-step equation
-2x = 1
x = -1/2 is your x-value.
User Jason Galuten
by
8.3k points

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