How would I work this problem?
x^2=-6x
1. SUBTRACT 6x FROM BOTH SIDES
X^2 - 6x = 0
2. NOW FACTOR OUT AN 'X'
X(X - 6) = 0
3. SO X = 0 OR 6
Thanks, that is what I did but I was not sure about it.
To solve the equation x^2 = -6x, you need to find the values of x that satisfy the equation. Here's how you can work through it:
Step 1: Rewrite the equation in standard form
To solve a quadratic equation, the equation needs to be in standard form, which is ax^2 + bx + c = 0. In this case, you already have the equation in standard form, so you can move to the next step.
Step 2: Set the equation equal to zero
Since the equation is x^2 = -6x, subtract -6x from both sides to set it equal to zero:
x^2 + 6x = 0
Step 3: Factor out common terms, if possible
Try to factor out common terms from the equation, if possible. In this case, both terms have a common factor of x. So, factor out x:
x(x + 6) = 0
Step 4: Apply the zero product property
According to the zero product property, if the product of two factors is equal to zero, then at least one of the factors must be zero. So, set each factor equal to zero and solve for x separately:
x = 0 or x + 6 = 0
Step 5: Solve for x
For the first equation, x = 0, there is no further simplification needed.
For the second equation, x + 6 = 0, subtract 6 from both sides:
x = -6
So, the solutions to the quadratic equation x^2 = -6x are x = 0 and x = -6.