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Solve for x: 5x^2 + 10x = 0.
Solve for x: 5x^2 + 10x = 0.
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Practice Questions
1 question
Q1
Solve for x: 5x^2 + 10x = 0.
x = 0, -2
x = 2, 0
x = -2, 2
x = 5, 0
Show Solution
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Factoring gives 5x(x + 2) = 0, so x = 0 or x = -2.
Questions & Step-by-step Solutions
1 item
Q
Q: Solve for x: 5x^2 + 10x = 0.
Solution:
Factoring gives 5x(x + 2) = 0, so x = 0 or x = -2.
Steps: 8
Show Steps
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.
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