Solve by factoring 6x^3 - 16x^2 - 32x = 0. Enter your work
2 answers:
Answer:
Step-by-step explanation:
The common factor is 2x
2x(3x^2 - 8x - 16)
(x - 4)(3x+4)*2x = 0
x = 2
x = 4
x = -4/3
This does not graph too awfully well, but at least it givens you a notion of the roots.
Hey there! :)
Answer:
x = -4/3, 0, 4.
Step-by-step explanation:
Starting with:
6x³ - 16x² - 32x = 0
Factor out the greatest common factor between each term, or 2x:
2x(3x² - 8x - 16) = 0
Factor the expression inside the parenthesis:
2x(3x +4)(x - 4) = 0
Use the Zero Product Property to solve the equation:
2x = 0
x = 0
---------
3x + 4 = 0
3x = -4
x = -4/3
-------------
x - 4 = 0
x = 4
-------------
Therefore, the solutions to this equation are:
x = -4/3, 0, 4.
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