Solve using the easiest method

x^2-3x-10=0

factorization!

factor the equation and set the 2 factorizations equal to 0
x^2-3x-10=0
find 2 numbers when added together equal -3 but when multiplied together equals -10.
-5x and 2x...
you should get x-5=0 and x+2=0
x=5 and x=-2