6x^3 - 7x^2 - 3x = 0. Show the correct steps.

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x = -1/3, 0, 3/2.

Step-by-step explanation:

Starting with:

6x³ - 7x² - 3x = 0

Factor out a greatest common factor, or x from each term:

x(6x² - 7x - 3) = 0

Factor the expression inside of the parenthesis:

x(3x +1)(2x - 3) = 0

Use the Zero Product Property to find the solutions:

x = 0

3x + 1 = 0

3x = -1

x = -1/3

2x - 3 = 0

2x = 3

x = 3/2

The solutions to this equation are x = -1/3, 0, 3/2.

x = 0 or x = -1/3 or x = 3/2

Step-by-step explanation:

6x^3 - 7x^2 - 3x = 0

Factor out an x.

x(6x^2 - 7x - 3) = 0

To factor the trinomial, we try trial and error.

6x = 2x * 3x

-3 = -1 * 3 = -3 * 1

We need to place 2x and 3x and -1 and 3 or -3 and 1 in order to make the middle term come out as -7x.

x(3x + 1)(2x - 3) = 0

x = 0 or 3x + 1 = 0 or 2x - 3 = 0

x = 0 or 3x = -1 or 2x = 3

x = 0 or x = -1/3 or x = 3/2

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4