Solve for x
Question 1 of 3
Solution:
Step 1: The equation is already factored
\[x(x - 3) = 0\]
Step 2: Apply the Zero Product Property
If two factors multiply to zero, at least one must be zero.
Either \(x = 0\) or \(x - 3 = 0\)
Step 3: Solve for x
\[x_1 = 0 \quad \text{or} \quad x_2 = 3\]
Solution:
Step 1: The equation is already factored
\[x(2x - 1) = 0\]
Step 2: Apply the Zero Product Property
Either \(x = 0\) or \(2x - 1 = 0\)
Step 3: Solve each factor
For \(2x - 1 = 0\):
\[2x = 1\]
\[x = \frac{1}{2} = 0.5\]
\[x_1 = 0 \quad \text{or} \quad x_2 = 0.5\]
Solution:
Step 1: The equation is already factored
\[2x(x - 5) = 0\]
Step 2: Apply the Zero Product Property
Either \(2x = 0\) or \(x - 5 = 0\)
Step 3: Solve each factor
For \(2x = 0\): \(x = 0\)
For \(x - 5 = 0\): \(x = 5\)
\[x_1 = 0 \quad \text{or} \quad x_2 = 5\]
