What is the answer to (4x^2-25)/(2x-5)=14 ?

The answer to (4x^2-25)/(2x-5)=14 is x= 9/2

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(4x^2-25)/(2x-5)=14

\frac{4 x ^{2} - 25}{2 x - 5} = 14

x = \frac{9}{2}

Decimal Notation

x = 4.5

Solution steps

\frac{4 x ^{2} - 25}{2 x - 5} = 14

Simplify

\frac{4 x ^{2} - 25}{2 x - 5} : 2 x + 5

2 x + 5 = 14

Move

5

to the right side

2 x = 9

Divide both sides by

2

x = \frac{9}{2}

Verify Solutions

Find undefined (singularity) points:

x = \frac{5}{2}

Combine undefined points with solutions:

x = \frac{9}{2}

\frac{( 6 - 3 x )}{x ^{2} + 2 x - 8} = 0

\frac{2 x + 7}{3 x} = 1

\frac{5 k + 7}{k - 1} = 3 k + 2

\frac{6}{x + 2} = \frac{3}{x - 4}

0 = \frac{3 x - 4}{2 x + 6}

What is the answer to (4x^2-25)/(2x-5)=14 ?
The answer to (4x^2-25)/(2x-5)=14 is x= 9/2
Solve for x: (4x^2-25)/(2x-5)=14
The solution is x= 9/2