What is the answer to sqrt(3)=(m-6)/(1+6m) ?

The answer to sqrt(3)=(m-6)/(1+6m) is m=(-37sqrt(3)-24)/(107)

Solve for m: sqrt(3)=(m-6)/(1+6m)

The solution is m=(-37sqrt(3)-24)/(107)

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3 = \frac{m - 6}{1 + 6 m}

m = \frac{- 37 3 - 24}{107}

Decimal Notation

m = - 0.82323 \dots

Solution steps

3 = \frac{m - 6}{1 + 6 m}

Multiply both sides by

1 + 6 m

3 (1 + 6 m) = m - 6

Expand

3 (1 + 6 m) : 3 + 63 m

3 + 63 m = m - 6

Move

3

to the right side

63 m = m - 6 - 3

Move

m

to the left side

63 m - m = - 6 - 3

Factor

63 m - m : (63 - 1) m

(63 - 1) m = - 6 - 3

Divide both sides by

63 - 1

m = \frac{- 37 3 - 24}{107}

Verify Solutions

Find undefined (singularity) points:

m = - \frac{1}{6}

Combine undefined points with solutions:

m = \frac{- 37 3 - 24}{107}

r, B = \frac{c}{1 - r}

\frac{- 3}{7 + c} = \frac{- 3}{7}

\frac{x ^{2}}{x + 8} - 4 = 0

\frac{x - 12}{x - 18} = 4

2.928 = \frac{100}{x}

What is the answer to sqrt(3)=(m-6)/(1+6m) ?
The answer to sqrt(3)=(m-6)/(1+6m) is m=(-37sqrt(3)-24)/(107)
Solve for m: sqrt(3)=(m-6)/(1+6m)
The solution is m=(-37sqrt(3)-24)/(107)