Answer
$$(5x-3)(6x+5).$$
Work Step by Step
For the polynomial
$$
30x^2+7x-15
$$
we check the factors of $ac=30(-15)=-450$. The only factors that can give the right middle term are $-18$ and $25$, as follows
$$30x^2+7x-15 =(5x-3)(6x+5).$$
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