What is the answer to 5(4+r)= 1/(2(40+10r)) ?

The answer to 5(4+r)= 1/(2(40+10r)) is r=-39/10 ,r=-41/10

Solve for r: 5(4+r)= 1/(2(40+10r))

The solution is r=-39/10 ,r=-41/10

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5 (4 + r) = \frac{1}{2 ( 40 + 10 r )}

r = - \frac{39}{10}, r = - \frac{41}{10}

Decimal Notation

r = - 3.9, r = - 4.1

Solution steps

5 (4 + r) = \frac{1}{2 ( 40 + 10 r )}

Multiply both sides by

2 (40 + 10 r)

10 (4 + r) (40 + 10 r) = 1

Solve

10 (4 + r) (40 + 10 r) = 1 : r = - \frac{39}{10}, r = - \frac{41}{10}

r = - \frac{39}{10}, r = - \frac{41}{10}

Verify Solutions

Find undefined (singularity) points:

r = - 4

Combine undefined points with solutions:

r = - \frac{39}{10}, r = - \frac{41}{10}

\frac{60}{15} = \frac{100}{y}

\frac{5}{6} = \frac{7}{x}

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

\frac{x}{x - 1} + 5 x = \frac{1}{x - 1}

\frac{1}{x + 2} - 5 = \frac{21}{x + 2}

What is the answer to 5(4+r)= 1/(2(40+10r)) ?
The answer to 5(4+r)= 1/(2(40+10r)) is r=-39/10 ,r=-41/10
Solve for r: 5(4+r)= 1/(2(40+10r))
The solution is r=-39/10 ,r=-41/10