What is the answer to ((25x^3))/(((x+1)^2))=64 ?

The answer to ((25x^3))/(((x+1)^2))=64 is x=4

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((25x^3))/(((x+1)^2))=64

\frac{( 25 x ^{3} )}{( ( x + 1 ) ^{2} )} = 64

x = 4

Solution steps

\frac{( 25 x ^{3} )}{( ( x + 1 ) ^{2} )} = 64

Simplify

\frac{( 25 x ^{3} )}{( ( x + 1 ) ^{2} )} : \frac{25 x ^{3}}{( x + 1 ) ^{2}}

\frac{25 x ^{3}}{( x + 1 ) ^{2}} = 64

Multiply both sides by

(x + 1)^{2}

25 x^{3} = 64 (x + 1)^{2}

Solve

25 x^{3} = 64 (x + 1)^{2} : x = 4

x = 4

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = 4

(1) 2 \cdot (\frac{x + 1}{x})^{2} - 3 (\frac{x - 1}{x}) - 8 = 0

\frac{x}{3 \cdot x} = 9^{2}

\frac{3}{( x - 2 )} + \frac{4}{( x + 2 )} = \frac{( 7 x - 2 )}{( x ^{2} - 4 )}

\frac{( 2.5 x + 4 )}{( 1.2 x + 8 )} = \frac{5}{4}

\frac{8}{6 x + 12} = \frac{- 11}{7 x - 10}

What is the answer to ((25x^3))/(((x+1)^2))=64 ?
The answer to ((25x^3))/(((x+1)^2))=64 is x=4
Solve for x: ((25x^3))/(((x+1)^2))=64
The solution is x=4