How do you solve x² + 2x = 0?
How do you solve x² + 2x = 0?
Aniket Singh , 8 Months ago
Grade
10 grade maths> How do you solve x² + 2x = 0?...
1 AnswersAskiitians Tutor Team
To solve the equation x² + 2x = 0, you can follow these steps:
Step 1: Factor the Equation
First, notice that you can factor out an x from both terms:
- x(x + 2) = 0
Step 2: Apply the Zero Product Property
According to the zero product property, if the product of two factors equals zero, at least one of the factors must be zero. This gives us two equations to solve:
- x = 0
- x + 2 = 0
Step 3: Solve Each Equation
Now, solve each equation:
- From x = 0, we get one solution: x = 0.
- From x + 2 = 0, subtract 2 from both sides to find: x = -2.
Final Solutions
The solutions to the equation x² + 2x = 0 are:
- x = 0
- x = -2
Approved Last Activity: 8 Months ago
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