What is the answer to 30000=20((4t+3)/(2t+5)) ?

The answer to 30000=20((4t+3)/(2t+5)) is t=-1071/428

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30000=20((4t+3)/(2t+5))

30000 = 20 (\frac{4 t + 3}{2 t + 5})

t = - \frac{1071}{428}

Decimal Notation

t = - 2.50233 \dots

Solution steps

30000 = 20 (\frac{4 t + 3}{2 t + 5})

Simplify

20 (\frac{4 t + 3}{2 t + 5}) : \frac{20 ( 4 t + 3 )}{2 t + 5}

30000 = \frac{20 ( 4 t + 3 )}{2 t + 5}

Multiply both sides by

2 t + 5

30000 (2 t + 5) = 20 (4 t + 3)

Expand

30000 (2 t + 5) : 60000 t + 150000

Expand

20 (4 t + 3) : 80 t + 60

60000 t + 150000 = 80 t + 60

Move

150000

to the right side

60000 t = 80 t - 149940

Move

80 t

to the left side

59920 t = - 149940

Divide both sides by

59920

t = - \frac{1071}{428}

Verify Solutions

Find undefined (singularity) points:

t = - \frac{5}{2}

Combine undefined points with solutions:

t = - \frac{1071}{428}

n - \frac{3}{n} = \frac{26}{3}

1 - \frac{b}{x} = 0

\frac{2}{3 x} = \frac{1}{4} - \frac{1}{6 x}

p, \frac{p}{1 - p} = c e^{t}

\frac{1}{6} + \frac{1}{8} = \frac{1}{x}

What is the answer to 30000=20((4t+3)/(2t+5)) ?
The answer to 30000=20((4t+3)/(2t+5)) is t=-1071/428
Solve for t: 30000=20((4t+3)/(2t+5))
The solution is t=-1071/428