What is the answer to 5(1+2m)= 1/(2(8+20m)) ?

The answer to 5(1+2m)= 1/(2(8+20m)) is m=(-9+sqrt(2))/(20),m=-(9+sqrt(2))/(20)

Solve for m: 5(1+2m)= 1/(2(8+20m))

The solution is m=(-9+sqrt(2))/(20),m=-(9+sqrt(2))/(20)

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5 (1 + 2 m) = \frac{1}{2 ( 8 + 20 m )}

m = \frac{- 9 + 2}{20}, m = - \frac{9 + 2}{20}

Decimal Notation

m = - 0.37928 \dots, m = - 0.52071 \dots

Solution steps

5 (1 + 2 m) = \frac{1}{2 ( 8 + 20 m )}

Multiply both sides by

2 (8 + 20 m)

10 (1 + 2 m) (8 + 20 m) = 1

Solve

10 (1 + 2 m) (8 + 20 m) = 1 : m = \frac{- 9 + 2}{20}, m = - \frac{9 + 2}{20}

m = \frac{- 9 + 2}{20}, m = - \frac{9 + 2}{20}

Verify Solutions

Find undefined (singularity) points:

m = - \frac{2}{5}

Combine undefined points with solutions:

m = \frac{- 9 + 2}{20}, m = - \frac{9 + 2}{20}

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

\frac{15}{x} = 3

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

\frac{x + 3}{x + 2} = \frac{5 x}{x + 6}

V, D = \frac{m}{V}

What is the answer to 5(1+2m)= 1/(2(8+20m)) ?
The answer to 5(1+2m)= 1/(2(8+20m)) is m=(-9+sqrt(2))/(20),m=-(9+sqrt(2))/(20)
Solve for m: 5(1+2m)= 1/(2(8+20m))
The solution is m=(-9+sqrt(2))/(20),m=-(9+sqrt(2))/(20)