What is the answer to (4x^2-8)/(x-1)=4x ?

The answer to (4x^2-8)/(x-1)=4x is x=2

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(4x^2-8)/(x-1)=4x

\frac{4 x ^{2} - 8}{x - 1} = 4 x

x = 2

Solution steps

\frac{4 x ^{2} - 8}{x - 1} = 4 x

Multiply both sides by

x - 1

4 x^{2} - 8 = 4 x (x - 1)

Expand

4 x (x - 1) : 4 x^{2} - 4 x

4 x^{2} - 8 = 4 x^{2} - 4 x

Move

8

to the right side

4 x^{2} = 4 x^{2} - 4 x + 8

Subtract

4 x^{2} - 4 x

from both sides

4 x^{2} - (4 x^{2} - 4 x) = 4 x^{2} - 4 x + 8 - (4 x^{2} - 4 x)

Simplify

4 x = 8

Divide both sides by

4

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 2

\frac{1}{64} = b^{- 3}

- 16 x + \frac{5000}{x} = 0

\frac{3}{x} = 0.98

x, \frac{9.8}{x} + 3 = 5

\frac{x + 4}{x + 2} = \frac{8}{4 - x}

What is the answer to (4x^2-8)/(x-1)=4x ?
The answer to (4x^2-8)/(x-1)=4x is x=2
Solve for x: (4x^2-8)/(x-1)=4x
The solution is x=2