Solve Using the Quadratic Formula x(x+6)=0

Problem

x*(x+6)=0

Solution

1. Expand the expression to write the equation in standard quadratic form a*x2+b*x+c=0

x2+6*x=0

2. Identify the coefficients a b and c for the quadratic formula.

a=1

b=6

c=0

3. Substitute these values into the quadratic formula x=(−b±√(,b2−4*a*c))/(2*a)

x=(−6±√(,6−4*(1)*(0)))/(2*(1))

4. Simplify the expression inside the square root (the discriminant).

x=(−6±√(,36−0))/2

x=(−6±√(,36))/2

5. Evaluate the square root and solve for both possible values of x

x=(−6±6)/2

6. Calculate the first solution using the plus sign.

x=(−6+6)/2=0/2=0

7. Calculate the second solution using the minus sign.

x=(−6−6)/2=(−12)/2=−6

Final Answer

x=0,−6

Want more problems? Check here!