What is the answer to -(6000)/T+9.8=-(3500)/T+4.5 ?

The answer to -(6000)/T+9.8=-(3500)/T+4.5 is T= 25000/53

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-(6000)/T+9.8=-(3500)/T+4.5

- \frac{6000}{T} + 9.8 = - \frac{3500}{T} + 4.5

T = \frac{25000}{53}

Decimal

T = 471.69811 \dots

Solution steps

- \frac{6000}{T} + 9.8 = - \frac{3500}{T} + 4.5

Move

9.8

to the right side

- \frac{6000}{T} = - \frac{3500}{T} - 5.3

Multiply both sides by

T

- 6000 = - 3500 - 5.3 T

Switch sides

- 3500 - 5.3 T = - 6000

Multiply both sides by

10

- 35000 - 53 T = - 60000

Move

35000

to the right side

- 53 T = - 25000

Divide both sides by

- 53

T = \frac{25000}{53}

Verify Solutions

Find undefined (singularity) points:

T = 0

Combine undefined points with solutions:

T = \frac{25000}{53}

\frac{7}{5 - x} = 0.5

- 7 = \frac{3}{w - 4}

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

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

x + \frac{5}{x} = 15

What is the answer to -(6000)/T+9.8=-(3500)/T+4.5 ?
The answer to -(6000)/T+9.8=-(3500)/T+4.5 is T= 25000/53
Solve for T: -(6000)/T+9.8=-(3500)/T+4.5
The solution is T= 25000/53