Solve Using the Quadratic Formula x^2+7x=0

Problem

x2+7*x=0

Solution

1. Identify the coefficients a b and c by comparing the equation to the standard form a*x2+b*x+c=0

a=1

b=7

c=0

2. State the quadratic formula.

x=(−b±√(,b2−4*a*c))/(2*a)

3. Substitute the values of a b and c into the formula.

x=(−7±√(,7−4*(1)*(0)))/(2*(1))

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

x=(−7±√(,49−0))/2

x=(−7±√(,49))/2

5. Evaluate the square root.

x=(−7±7)/2

6. Solve for the two possible values of x by splitting the plus and minus signs.

(x_1)=(−7+7)/2=0/2=0

(x_2)=(−7−7)/2=(−14)/2=−7

Final Answer

x=0,−7

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