What is the answer to |4w-1|=5w+37 ?

The answer to |4w-1|=5w+37 is w=-4

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|4w-1|=5w+37

∣ 4 w - 1 ∣ = 5 w + 37

w = - 4

Solution steps

∣ 4 w - 1 ∣ = 5 w + 37

Find positive and negative intervals

w < \frac{1}{4}, w \geq \frac{1}{4}

Solve the inequality for each interval

w = - 4 or No Solution

w = - 4

x + 8 = 2 x + 1

- 15 - 2

24

p^{2} + 18 p + 32

x^{2} - 2 x - 35 \geq 0