solve the equation x2 + 5x = 0.
Online, "^" is used to indicate an exponent, e.g., x^2 = x squared.
x(x+5) = 0
x = 0
x = -5
Factor it to x*(x+5) = 0 and set each factor equal to zero.
I got -5 but I was sure it was either
1, –5 or 0, –5
so it should be 0, -5
To solve the equation x^2 + 5x = 0, we need to find the values of x that satisfy this equation. Here's one way to solve it:
Step 1: Factor out the common term x from the left side of the equation:
x(x + 5) = 0
Step 2: Apply the Zero Product Property, which states that if the product of two factors is zero, then at least one of the factors must be zero.
So, either x = 0 or (x + 5) = 0.
Step 3: Solve for x in each case:
Case 1: x = 0
Case 2: x + 5 = 0
Subtract 5 from both sides of the equation:
x = -5
Therefore, the solution to the equation x^2 + 5x = 0 is x = 0 or x = -5.