Solve Using the Quadratic Formula x^2+8x=0

Problem

x2+8*x=0

Solution

1. Identify the coefficients of the quadratic equation in the standard form a*x2+b*x+c=0

a=1

b=8

c=0

2. Apply the quadratic formula which is x=(−b±√(,b2−4*a*c))/(2*a)

x=(−8±√(,8−4*(1)*(0)))/(2*(1))

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

x=(−8±√(,64−0))/2

x=(−8±√(,64))/2

4. Evaluate the square root and simplify the fraction.

x=(−8±8)/2

5. Solve for both possible values of x

(x_1)=(−8+8)/2=0/2=0

(x_2)=(−8−8)/2=(−16)/2=−8

Final Answer

x=0,−8

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