3x3 + 15x2 + 18x = 0
This has one obvious solution, x = 0. Also, if you assume x != 0 (x is not equal to 0), and divide everything by 3x:
x2 + 5x + 6 = 0
can be factored to
(x + 2)(x + 3) = 0
So, two other solutions are x = -2, and x = -3.
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The GCF is 15x^2y^2
15x squared plus eleven
9x squared-15x squared = -6
x + 10
x + 5
The GCF is 15x^2y^2
5x^3(3x + 2)
15x squared plus eleven
9x squared-15x squared = -6
3x2 + 15x + 6 = 3*(x2 + 5x + 2). There are no further rational factors.
x + 10
x + 5
3(x + 4)(x + 1)
-15x2+5x=-5x(3x-1)
5x(3x + 1)
3(2x - 1)(x - 2)
x + 5; provided, of course, that x ≠ -10.