Solve for x: 5x^2 + 10x = 0.
Correct Answer: x = 0 or x = -2
- Step 1: Start with the equation 5x^2 + 10x = 0.
- Step 2: Factor out the common term from both parts of the equation. The common term is 5x.
- Step 3: Rewrite the equation as 5x(x + 2) = 0.
- Step 4: Set each factor equal to zero. First, set 5x = 0.
- Step 5: Solve for x in the first factor: 5x = 0 means x = 0.
- Step 6: Now set the second factor equal to zero: x + 2 = 0.
- Step 7: Solve for x in the second factor: x + 2 = 0 means x = -2.
- Step 8: The solutions are x = 0 and x = -2.
No concepts available.
