Question

36x^3 +27x^2=0 pls help me solve :/​

Answer 1

Answer: 36x^3 +27x^2 = 9x^2\left(4x+3\right)

Step-by-step explanation: apply exponent rule rewrite factor out common term plz enjoy

Answer 2

`x = 0\; ,-(3)/(4)`

Explanation:

`36x^3 + 27x^2 = 0`

• Take 9x² common from the expression on L.H.S.

`=> 9x^2(4x + 3) = 0`

Here, x will have 2 values :-

1)
`9x^2(4x + 3) = 0`

• Divide both the sides by (4x + 3)

`=> (9x^2(4x + 3))/((4x+3)) = (0)/(4x+3)`

`=> 9x^2 = 0`

• Divide both the sides by 9x

`=> (9x^2)/(9x) = (0)/(9x)`

`=> x = 0`

2)
`9x^2(4x + 3) = 0`

• Divide both the sides by 9x²

`=> (9x^2(4x + 3))/(9x^2) = (0)/(9x^2)`

`=> 4x+3 = 0`

• Substract both the sides from 3

`=> 4x+3 -3 = 0 - 3`

`=> 4x=-3`

• Divide both the sides by 4

`=> (4x)/(4) = (-3)/(4)`

`=> x = -(3)/(4)`