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=]

Transcript text: 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

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 $w$.

Solution Approach

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

Step 1: Factor the Equation

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

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

Step 2: Set Each Factor to Zero

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

Step 3: Solve for $w$

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

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

Final Answer

\[ \boxed{w = 0, 5} \]

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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

Solution Steps

Final Answer

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