x2+2x-35=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 -35 and whose sum is 2.

-5,7

Write the factored form using these integers.

(x-5)(x+7)=0

(x-5)(x+7)=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-5=0

x+7=0

Set the first factor equal to 0.

x-5=0

Add 5 to both sides of the equation.

x=5

x=5

Set the next factor equal to 0.

x+7=0

Subtract 7 from both sides of the equation.

x=-7

x=-7

The final solution is all the values that make (x-5)(x+7)=0 true.

x=5,-7

Solve Using the Square Root Property x^2+2x-35=0