What is the answer to |(36)/(4x-3)|=4 ?

The answer to |(36)/(4x-3)|=4 is x=-3/2 ,x=3

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|(36)/(4x-3)|=4

\frac{36}{4 x - 3} = 4

x = - \frac{3}{2}, x = 3

Solution steps

\frac{36}{4 x - 3} = 4

Simplify

\frac{36}{4 x - 3} : \frac{36}{∣ 4 x - 3 ∣}

\frac{36}{∣ 4 x - 3 ∣} = 4

Multiply both sides by

∣ 4 x - 3 ∣

36 = 4 ∣ 4 x - 3 ∣

Solve

36 = 4 ∣ 4 x - 3 ∣ : x = - \frac{3}{2} or x = 3

x = - \frac{3}{2}, x = 3

Verify Solutions

Find undefined (singularity) points:

x = \frac{3}{4}

Combine undefined points with solutions:

x = - \frac{3}{2}, x = 3

3 x^{- 2} - 14 x^{- 1} - 5 = 0

n (x) = \frac{( 7 x + 5 )}{( x - 8 )}

\frac{x + 1}{3 x} = \frac{1}{6}

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

a + 24 = \frac{144}{a}

What is the answer to |(36)/(4x-3)|=4 ?
The answer to |(36)/(4x-3)|=4 is x=-3/2 ,x=3
Solve for x: |(36)/(4x-3)|=4
The solution is x=-3/2 ,x=3