Question

Solve the following equation by factoring. Separate multiple answers with a comma. x^3 + 6x = 5x^2

Answer 1

we have

x^3 + 6x = 5x^2​

x^3-5x^2+6x=0

Factor x

x(x^2-5x+6)=0

x^2-5x+6=(x-2)(x-3)

substitute

x^3-5x^2+6x=x(x-2)(x-3)

the solutions are

x=0

x=2

x=3

x=0,2,3