What is the answer to solvefor q,4q+80=2q+80+(3200)/q ?

The answer to solvefor q,4q+80=2q+80+(3200)/q is q=40,q=-40

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solvefor q,4q+80=2q+80+(3200)/q

solve for

q, 4 q + 80 = 2 q + 80 + \frac{3200}{q}

q = 40, q = - 40

Solution steps

4 q + 80 = 2 q + 80 + \frac{3200}{q}

Subtract

80

from both sides

4 q + 80 - 80 = 2 q + 80 + \frac{3200}{q} - 80

Simplify

4 q = 2 q + \frac{3200}{q}

Multiply both sides by

q

4 q^{2} = 2 q^{2} + 3200

Solve

4 q^{2} = 2 q^{2} + 3200 : q = 40, q = - 40

q = 40, q = - 40

Verify Solutions

Find undefined (singularity) points:

q = 0

Combine undefined points with solutions:

q = 40, q = - 40

\frac{60}{( - x )} = 4

\frac{x}{4} = \frac{9}{4 x}

\frac{x}{x - 2} + x = \frac{3 x + 15}{4}

\frac{8 x}{3 x + 5} + \frac{5 x - 1}{x + 1} = 3

a, \frac{1}{a} + \frac{1}{b} = \frac{1}{a + b}

What is the answer to solvefor q,4q+80=2q+80+(3200)/q ?
The answer to solvefor q,4q+80=2q+80+(3200)/q is q=40,q=-40