What is the answer to | 7/(2-3x)|-9=0 ?

The answer to | 7/(2-3x)|-9=0 is x= 11/27 ,x= 25/27

Solve for x: | 7/(2-3x)|-9=0

The solution is x= 11/27 ,x= 25/27

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\frac{7}{2 - 3 x} - 9 = 0

x = \frac{11}{27}, x = \frac{25}{27}

Decimal Notation

x = 0.40740 \dots, x = 0.92592 \dots

Solution steps

\frac{7}{2 - 3 x} - 9 = 0

Simplify

\frac{7}{2 - 3 x} : \frac{7}{∣ 2 - 3 x ∣}

\frac{7}{∣ 2 - 3 x ∣} - 9 = 0

Multiply both sides by

∣ 2 - 3 x ∣

7 - 9 ∣ 2 - 3 x ∣ = 0

Solve

7 - 9 ∣ 2 - 3 x ∣ = 0 : x = \frac{11}{27} or x = \frac{25}{27}

x = \frac{11}{27}, x = \frac{25}{27}

Verify Solutions

Find undefined (singularity) points:

x = \frac{2}{3}

Combine undefined points with solutions:

x = \frac{11}{27}, x = \frac{25}{27}

4 (k - 8) = - 32 + 4 k

\frac{1}{2} \cdot x \cdot x \cdot \frac{3}{2} = 8

820 (1 + x)^{2} = 2000 + 2000 x

4 m^{2} - 7 m - 2 = 0

5 \cdot \frac{3}{2}

What is the answer to | 7/(2-3x)|-9=0 ?
The answer to | 7/(2-3x)|-9=0 is x= 11/27 ,x= 25/27
Solve for x: | 7/(2-3x)|-9=0
The solution is x= 11/27 ,x= 25/27