What is the answer to (600)/x-45x=3(4-15x) ?

The answer to (600)/x-45x=3(4-15x) is x=50

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(600)/x-45x=3(4-15x)

\frac{600}{x} - 45 x = 3 (4 - 15 x)

x = 50

Solution steps

\frac{600}{x} - 45 x = 3 (4 - 15 x)

Multiply both sides by

x

600 - 45 x^{2} = 3 (4 - 15 x) x

Expand

3 (4 - 15 x) x : 12 x - 45 x^{2}

600 - 45 x^{2} = 12 x - 45 x^{2}

Move

600

to the right side

- 45 x^{2} = 12 x - 45 x^{2} - 600

Subtract

12 x - 45 x^{2}

from both sides

- 45 x^{2} - (12 x - 45 x^{2}) = 12 x - 45 x^{2} - 600 - (12 x - 45 x^{2})

Simplify

- 12 x = - 600

Divide both sides by

- 12

x = 50

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 50

\frac{1}{x - 1} + 4 = \frac{17}{x - 1}

4 = 7 - \frac{21}{x}

\frac{x + 1}{x - 1} = 4

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

A, p = \frac{F}{A}

What is the answer to (600)/x-45x=3(4-15x) ?
The answer to (600)/x-45x=3(4-15x) is x=50
Solve for x: (600)/x-45x=3(4-15x)
The solution is x=50