Solve by Factoring x^2+5x+6=0

Problem

x2+5*x+6=0

Solution

1. Identify the coefficients of the quadratic equation in the form a*x2+b*x+c=0 where a=1 b=5 and c=6

2. Find two numbers that multiply to c (6) and add to b (5).

3. Determine that the numbers are 2 and 3 because 2⋅3=6 and 2 + 3 = 5$.

4. Rewrite the quadratic expression as a product of two binomials using these numbers.

(x+2)*(x+3)=0

5. Apply the Zero Product Property by setting each factor equal to zero.

x+2=0

x+3=0

6. Solve each linear equation for x

x=−2

x=−3

Final Answer

x=−2,−3

Want more problems? Check here!