I’m not sure how to find the LCD
Could someone please explain to me how these work?

the least common denominator is found by finding a number that both denominators can get to.

Step-by-step explanation:

for this equation, the least common denominator would be 6x.

You can have both fractions be equal by multiplying the first fraction by 6x.

option (a)

step-by-step explanation:

step 1:   take 2 number whose product equal to 25..

and sum of those two number are -10

step: 2 for example here if we take 5,5 are the number,,

5*5=25

and

5+5=10

but we need -10

so if we take   -5,-5

so -5*-5=25

and -5+(-5)=-10

s0

come the equation

replace -10x by these number

like -5x -5x+25

take common

x(x-5)-5(x-5)=0

(x-5)(x-5)=0