Question

Solve by factoring
x^2 -10 = 9x

Answer 1

x=10, x=-1

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!

Answer 2

(10,0)(-1,0)

Explanation:

x^2 - 9x - 10 = 0

(x - 10)(x + 1) = 0

The two solutions are

x - 10 = 0

x = 10

or

x+1 = 0

x = - 1