What is the answer to 0=(8(2x-5))/((x+2)^4) ?

The answer to 0=(8(2x-5))/((x+2)^4) is x= 5/2

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0=(8(2x-5))/((x+2)^4)

0 = \frac{8 ( 2 x - 5 )}{( x + 2 ) ^{4}}

x = \frac{5}{2}

Decimal Notation

x = 2.5

Solution steps

0 = \frac{8 ( 2 x - 5 )}{( x + 2 ) ^{4}}

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

0 = 8 (2 x - 5)

Switch sides

8 (2 x - 5) = 0

Divide both sides by

8

2 x - 5 = 0

Move

5

to the right side

2 x = 5

Divide both sides by

2

x = \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = \frac{5}{2}

\frac{12000 A}{1 + A} = 1262

2 = \frac{x + 2}{x - 8}

\frac{6}{( x + a )} = \frac{5}{40}

\frac{2}{u - 2} = - 6 + \frac{7}{u + 1}

3 π = \frac{2 π}{x}

What is the answer to 0=(8(2x-5))/((x+2)^4) ?
The answer to 0=(8(2x-5))/((x+2)^4) is x= 5/2
Solve for x: 0=(8(2x-5))/((x+2)^4)
The solution is x= 5/2