u2+3u-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 3.

-2,5

Write the factored form using these integers.

(u-2)(u+5)=0

(u-2)(u+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.

u-2=0

u+5=0

Set the first factor equal to 0.

u-2=0

Add 2 to both sides of the equation.

u=2

u=2

Set the next factor equal to 0.

u+5=0

Subtract 5 from both sides of the equation.

u=-5

u=-5

The final solution is all the values that make (u-2)(u+5)=0 true.

u=2,-5

Solve using the Square Root Property u^2+3u-10=0