Question

3x^3-15x^2+18x=0


Show all steps and explain each step using a complete sentence.

Answer 1

x = -1, 0, 6

Explanation:

factor out an 3x.

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

solve for the first x.

3x = 0

x = 0

now factor the polynomial

(x - 6)(x + 1)

x - 6 = 0

x = 6

x + 1 = 0

x = -1

Answer 2

x= 0 ; 2; 3

Explanation:

Let's solve your equation step-by-step.

`3x^(3) -15x^(2)+18x=0`

Three x to the third power minus 15x to the second power + eighteen x equals 0.

Step 1: Factor left side of equation.

`3x(x-2)(x-3)=0`

Three x times x minus 2 times x minus three equals 0

Step 2: Set factors equal to 0.

`3x=0 ; x-2=0 ; x-3=0\\x=0 ; x=2 ; x=3`