Questions: Solve for (w) [4 w^2-20 w=0] If there is more than one solution, separate them with (c) If there is no solution, click on "No solution". [w=]

Solution Steps

To solve the quadratic equation \(4w^2 - 20w = 0\), we can factor out the common term. This will allow us to set each factor to zero and solve for \(w\).

1. Factor out the greatest common factor (GCF) from the equation.
2. Set each factor equal to zero.
3. Solve for \(w\).

Given the quadratic equation: \[ 4w^2 - 20w = 0 \]

We can factor out the greatest common factor (GCF), which is \(4w\): \[ 4w(w - 5) = 0 \]

Set each factor equal to zero and solve for \(w\): \[ 4w = 0 \quad \text{or} \quad w - 5 = 0 \]

Solving the first equation: \[ 4w = 0 \implies w = 0 \]

Solving the second equation: \[ w - 5 = 0 \implies w = 5 \]

Final Answer