What is the answer to |4w+2|=|4w-5| ?

The answer to |4w+2|=|4w-5| is w= 3/8

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|4w+2|=|4w-5|

∣ 4 w + 2 ∣ = ∣ 4 w - 5 ∣

w = \frac{3}{8}

Decimal Notation

w = 0.375

Solution steps

∣ 4 w + 2 ∣ = ∣ 4 w - 5 ∣

Find positive and negative intervals

w < - \frac{1}{2}, - \frac{1}{2} \leq w < \frac{5}{4}, w \geq \frac{5}{4}

Solve the inequality for each interval

No Solution or w = \frac{3}{8}

w = \frac{3}{8}

2 x^{2} = 150

- 12 - 3

x^{2} - 92 = - 20 x

- 5 x + 9 > - 6

\frac{1}{3} (x + 9) \geq x - 1