Answer:
x=10, x=-1
Step-by-step explanation:
Hi there!
We are given this equation:
x²-10=9x
And we want to solve it by factoring
Factoring is easier to do when all of the terms are on the same side, so let's subtract 9x from both sides
x²-9x-10=0
Now we must think of two numbers that add up to -9, but multiply to get -10
Those numbers are -10 and 1
So factor the polynomial using FOIL:
(x-10)(x+1)=0
Now split and solve via the zero product property:
x-10=0
Add 10 to both sides
x=10
x+1=0
Subtract 1 from both sides
x=-1
Hope this helps!
