Solve by Factoring x^2+6x+8=0

Problem

x2+6*x+8=0

Solution

1. Identify the coefficients of the quadratic equation in the form a*x2+b*x+c=0 where a=1 b=6 and c=8

2. Find two numbers that multiply to c (8) and add to b (6). These numbers are 2 and 4

3. Rewrite the quadratic expression as a product of two binomials using the identified numbers.

(x+2)*(x+4)=0

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

x+2=0

x+4=0

5. Solve each linear equation for x

x=−2

x=−4

Final Answer

x=−2,−4

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