What is the answer to 1/(8x+56)=4x+140 ?

The answer to 1/(8x+56)=4x+140 is x=(3(sqrt(1394)-56))/8 ,x=-(3(56+sqrt(1394)))/8

Solve for x: 1/(8x+56)=4x+140

The solution is x=(3(sqrt(1394)-56))/8 ,x=-(3(56+sqrt(1394)))/8

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\frac{1}{8 x + 56} = 4 x + 140

x = \frac{3 ( 1394 - 56 )}{8}, x = - \frac{3 ( 56 + 1394 )}{8}

Decimal Notation

x = - 6.99888 \dots, x = - 35.00111 \dots

Solution steps

\frac{1}{8 x + 56} = 4 x + 140

Multiply both sides by

8 x + 56

1 = 4 x (8 x + 56) + 140 (8 x + 56)

Solve

1 = 4 x (8 x + 56) + 140 (8 x + 56) : x = \frac{3 ( 1394 - 56 )}{8}, x = - \frac{3 ( 56 + 1394 )}{8}

x = \frac{3 ( 1394 - 56 )}{8}, x = - \frac{3 ( 56 + 1394 )}{8}

Verify Solutions

Find undefined (singularity) points:

x = - 7

Combine undefined points with solutions:

x = \frac{3 ( 1394 - 56 )}{8}, x = - \frac{3 ( 56 + 1394 )}{8}

\frac{5}{3 v - 2} = \frac{7}{4 v}

\frac{x}{( 1 - x )} = 44.83

\frac{38}{x} = \frac{37}{29}

\frac{3}{4 x + 11} = \frac{2}{5 x - 2}

\frac{3}{2} - \frac{2}{x + 1} = 4

What is the answer to 1/(8x+56)=4x+140 ?
The answer to 1/(8x+56)=4x+140 is x=(3(sqrt(1394)-56))/8 ,x=-(3(56+sqrt(1394)))/8
Solve for x: 1/(8x+56)=4x+140
The solution is x=(3(sqrt(1394)-56))/8 ,x=-(3(56+sqrt(1394)))/8