What is the answer to (15)/(27+(3x-7/9)^3)= 24/27 ?

The answer to (15)/(27+(3x-7/9)^3)= 24/27 is x\approx-0.46186…

Solve for x: (15)/(27+(3x-7/9)^3)= 24/27

The solution is x\approx-0.46186…

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\frac{15}{27 + ( 3 x - \frac{7}{9} ) ^{3}} = \frac{24}{27}

x \approx - 0.46186 \dots

Solution steps

\frac{15}{27 + ( 3 x - \frac{7}{9} ) ^{3}} = \frac{24}{27}

Cross multiply

295245 = (19340 + 3969 x + 19683 x^{3} - 15309 x^{2}) \cdot 24

Solve

295245 = (19340 + 3969 x + 19683 x^{3} - 15309 x^{2}) \cdot 24 : x \approx - 0.46186 \dots

x \approx - 0.46186 \dots

Verify Solutions

Find undefined (singularity) points:

x = - \frac{20}{27}

Combine undefined points with solutions:

x \approx - 0.46186 \dots

\frac{2}{3} = \frac{( x + 1 )}{( x - 3 )}

\frac{7}{10 b + 20} = 35

x, h (x^{2}) = \frac{4}{( x ^{2} + 5 )}

\frac{31}{16 - ( \frac{1}{3} x - 0.75 ) ^{2}} = \frac{3}{8}

3 x^{2} - 1 = \frac{1}{5 ( 1 - x )}

What is the answer to (15)/(27+(3x-7/9)^3)= 24/27 ?
The answer to (15)/(27+(3x-7/9)^3)= 24/27 is x\approx-0.46186…
Solve for x: (15)/(27+(3x-7/9)^3)= 24/27
The solution is x\approx-0.46186…