x2+4x+3=0
Consider the form x2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is 3 and whose sum is 4.
1,3
Write the factored form using these integers.
(x+1)(x+3)=0
(x+1)(x+3)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x+1=0
x+3=0
Set the first factor equal to 0.
x+1=0
Subtract 1 from both sides of the equation.
x=-1
x=-1
Set the next factor equal to 0.
x+3=0
Subtract 3 from both sides of the equation.
x=-3
x=-3
The final solution is all the values that make (x+1)(x+3)=0 true.
x=-1,-3
Solve Using the Square Root Property x^2+4x+3=0
