Question

What are the solutions to 6x^2=18x?
A)x=6 x=3
B)x=6 x=-3
c)x=0 x=-3
D)x=0 x=3

Answer 1

just plug them in

Answer 2

Is there another way?

Answer 3

There surely is another way. Solve this quadratic equation:

6x^2=18x

Re-write it as 6x^2-18x=0.
Factor this equation.
Set the factors equal to zero, separately. What are the resulting x values?
Check your solutions by substituting them back into the original equation.

Answer 4

yes, subtract 18x so that the equation is equal to 0 (6x^2-18x=0) then factor out 6x to get x-3=0 then add three and you get 3. then take that 6x you factored with and set that equal to zero and get zero. so the answer is (0,3)