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