What is the answer to |9-4x|=-5x ?

The answer to |9-4x|=-5x is x=-9

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|9-4x|=-5x

∣ 9 - 4 x ∣ = - 5 x

x = - 9

Solution steps

∣ 9 - 4 x ∣ = - 5 x

Find positive and negative intervals

x \leq \frac{9}{4}, x > \frac{9}{4}

Solve the inequality for each interval

x = - 9 or No Solution

x = - 9

x^{2} + 5 x - 336 = 0

(x^{\frac{1}{4}})^{- 4}

6 n^{2} - 2 = 484

∣ - 3 - 4 x ∣ > 2

\frac{x}{4} = \frac{8}{6}