Question

Solve for x.
4x(x-4)-5x(x-3)=0
x=

Answer 1

x = -1, 0

Answer 2

do you need more detail mizz?

Answer 3

4x(x-4)-5x(x-3)
=
4x^2-16x-5x^2+15x
=
-x^2-x
=
-x(x+1)
=
0
=>-x=0 or x+1=0
=>x=0 or x=-1

Answer 4

distribute the 4x and the -5x to get 4x^2 -16x -5x^2 +15x

combine all like terms to get -x^2 - x

factor out an x to get x(-x - 1)

x = 0, and x = -1