What is the answer to 1/(2(5x-2))=2x+4 ?

The answer to 1/(2(5x-2))=2x+4 is x=(-8+sqrt(149))/(10),x=-(8+sqrt(149))/(10)

Solve for x: 1/(2(5x-2))=2x+4

The solution is x=(-8+sqrt(149))/(10),x=-(8+sqrt(149))/(10)

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\frac{1}{2 ( 5 x - 2 )} = 2 x + 4

x = \frac{- 8 + 149}{10}, x = - \frac{8 + 149}{10}

Decimal Notation

x = 0.42065 \dots, x = - 2.02065 \dots

Solution steps

\frac{1}{2 ( 5 x - 2 )} = 2 x + 4

Multiply both sides by

2 (5 x - 2)

1 = 4 x (5 x - 2) + 8 (5 x - 2)

Solve

1 = 4 x (5 x - 2) + 8 (5 x - 2) : x = \frac{- 8 + 149}{10}, x = - \frac{8 + 149}{10}

x = \frac{- 8 + 149}{10}, x = - \frac{8 + 149}{10}

Verify Solutions

Find undefined (singularity) points:

x = \frac{2}{5}

Combine undefined points with solutions:

x = \frac{- 8 + 149}{10}, x = - \frac{8 + 149}{10}

x, \frac{11}{4 x} + 9 = 3

- \frac{3}{2 x} + \frac{3}{10 x} = 12

\frac{x}{x} = \frac{x}{x}

\frac{1 - x}{x - 1} = - 1

12 = \frac{2 π}{x}

What is the answer to 1/(2(5x-2))=2x+4 ?
The answer to 1/(2(5x-2))=2x+4 is x=(-8+sqrt(149))/(10),x=-(8+sqrt(149))/(10)
Solve for x: 1/(2(5x-2))=2x+4
The solution is x=(-8+sqrt(149))/(10),x=-(8+sqrt(149))/(10)