What is the answer to solvefor q,2q+380=q+380+(2500)/q ?

The answer to solvefor q,2q+380=q+380+(2500)/q is q=50,q=-50

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solvefor q,2q+380=q+380+(2500)/q

solve for

q, 2 q + 380 = q + 380 + \frac{2500}{q}

q = 50, q = - 50

Solution steps

2 q + 380 = q + 380 + \frac{2500}{q}

Subtract

380

from both sides

2 q + 380 - 380 = q + 380 + \frac{2500}{q} - 380

Simplify

2 q = q + \frac{2500}{q}

Multiply both sides by

q

2 q^{2} = q^{2} + 2500

Solve

2 q^{2} = q^{2} + 2500 : q = 50, q = - 50

q = 50, q = - 50

Verify Solutions

Find undefined (singularity) points:

q = 0

Combine undefined points with solutions:

q = 50, q = - 50

y, z = \frac{1}{y - g}

\frac{5}{3 x + 2} + \frac{3}{2 - 4 x} = 0

x - \frac{6}{x} = - 1

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

\frac{x}{7 - 2 x} = 6

What is the answer to solvefor q,2q+380=q+380+(2500)/q ?
The answer to solvefor q,2q+380=q+380+(2500)/q is q=50,q=-50