Question

Solve the equation...
x^2(12x+101)/63=x

Answer 1

clearly x=0 is a solution

Answer 2

I was thinking that was an option...I just didn't know where to go from there:)

Answer 3

you cant really assume that yet @furan143 ...youll have to transform and solve it first...

Answer 4

Where do I start?

Answer 5

after that you should divide the whole equation with x which leaves you with a quadratic equation which can be solved

Answer 6

so x=9 or x=-7/12?

Answer 7

I am still not seeing where you where able to break it all down to 9 and -7/12

Answer 8

\[x^{2}(12x+101)/63=x\]
so \[x^{2} (12x +101) = 63x\]

so\[12x^{3}+101x^{2}=63x\]
move 63x to the left of the equation
\[12x^{3} +101x^{2} - 63 x = 0\]

Answer 9

\[x(12x^{2} + 101 x - 63)=0\]
so
x(x+9)(12x-7)=0

Answer 10

thus x=0 or x+9 = 0, or 12x-7 = 0

Then, x = 0 or x = -9 or x = 7/12