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Home / Combine terms: \(300v + 2400 = 5v^2 + 100v\).

Combine terms: \(300v + 2400 = 5v^2 + 100v\).

February 22, 2026

$Combine terms: \(300v + 2400 = 5v^2 + 100v\).$

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Multiply through by \(v(v+20)\):
\(120(v+20) + 180v = 5v(v+20)\).
Simplify: \(120v + 2400 + 180v = 5v^2 + 100v\).
Rewrite: \(5v^2 - 200v - 2400 = 0\).
Divide by 5: \(v^2 - 40v - 480 = 0\).
\(v = \frac{40 \pm \sqrt{1600 + 1920}}{2}\).

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