What is the answer to | 1/4+2x|=-(-1/2-x) ?

The answer to | 1/4+2x|=-(-1/2-x) is x=-1/4 \lor x= 1/4

Solve for x: | 1/4+2x|=-(-1/2-x)

The solution is x=-1/4 \lor x= 1/4

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\frac{1}{4} + 2 x = - (- \frac{1}{2} - x)

x = - \frac{1}{4} or x = \frac{1}{4}

Solution steps

\frac{1}{4} + 2 x = - (- \frac{1}{2} - x)

Find positive and negative intervals

x < - \frac{1}{8}, x \geq - \frac{1}{8}

Solve the inequality for each interval

x = - \frac{1}{4} or x = \frac{1}{4}

2 x < 6 or x - 4 > 1

2 x - 3 \leq 4

4 x^{2} - 33 x - 27

x^{2} - 2 x + 6 = 0

\frac{20 !}{14 ! ( 20 - 14 ) !}

What is the answer to | 1/4+2x|=-(-1/2-x) ?
The answer to | 1/4+2x|=-(-1/2-x) is x=-1/4 \lor x= 1/4
Solve for x: | 1/4+2x|=-(-1/2-x)
The solution is x=-1/4 \lor x= 1/4