a2+7a+10=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 10 and whose sum is 7.
2,5
Write the factored form using these integers.
(a+2)(a+5)=0
(a+2)(a+5)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
a+2=0
a+5=0
Set the first factor equal to 0.
a+2=0
Subtract 2 from both sides of the equation.
a=-2
a=-2
Set the next factor equal to 0.
a+5=0
Subtract 5 from both sides of the equation.
a=-5
a=-5
The final solution is all the values that make (a+2)(a+5)=0 true.
a=-2,-5
Solve for a a^2+7a+10=0
