Solve by factoring

x squared-30=7x

X²-30=7x

x²-7x-30=0

something times something = - 30

something + something - 7

(x+3) (x-10) = 0

x = - 3 and 10

X^2-30=7x

we will try to get it eqpal to zero

subtract 7x form both sdies

x^2-7x-30=0

factor because is xy=0 then x and/or y=0

so

find what 2 numbers add to - 7 and multiply to - 30

the numbers are - 10 and 3

(x-10) (x+3) = 0

so set them to zero

x-10=0

add 10

x=10

x+3=0

sbtract 3

x=-3

x=10 or - 3