What is the answer to (25)/(m+5)+10=2m ?

The answer to (25)/(m+5)+10=2m is m=(5sqrt(3))/(sqrt(2)),m=-(5sqrt(3))/(sqrt(2))

Solve for m: (25)/(m+5)+10=2m

The solution is m=(5sqrt(3))/(sqrt(2)),m=-(5sqrt(3))/(sqrt(2))

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\frac{25}{m + 5} + 10 = 2 m

m = \frac{5 3}{2}, m = - \frac{5 3}{2}

Decimal Notation

m = 6.12372 \dots, m = - 6.12372 \dots

Solution steps

\frac{25}{m + 5} + 10 = 2 m

Multiply both sides by

m + 5

25 + 10 (m + 5) = 2 m (m + 5)

Solve

25 + 10 (m + 5) = 2 m (m + 5) : m = \frac{5 3}{2}, m = - \frac{5 3}{2}

m = \frac{5 3}{2}, m = - \frac{5 3}{2}

Verify Solutions

Find undefined (singularity) points:

m = - 5

Combine undefined points with solutions:

m = \frac{5 3}{2}, m = - \frac{5 3}{2}

\frac{4}{x} = \frac{5}{x - 3}

\frac{k}{27} = \frac{36}{12 k}

\frac{3 x}{x ^{2} - 1} = 0

\frac{7}{x} = \frac{5}{2 x} + 27

\frac{5}{x} = \frac{10}{9 x} + 1

What is the answer to (25)/(m+5)+10=2m ?
The answer to (25)/(m+5)+10=2m is m=(5sqrt(3))/(sqrt(2)),m=-(5sqrt(3))/(sqrt(2))
Solve for m: (25)/(m+5)+10=2m
The solution is m=(5sqrt(3))/(sqrt(2)),m=-(5sqrt(3))/(sqrt(2))