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Try $ (3x + 10)(2x - 3.5) $: not integer.
Try again: factors of $-210$ that add to $-19$.
We need $-19x$, so difference of $10x$ more in middle.
From $ ab = -35 $, try $ a = 5 $, $ b = -7 $: $ a + 6b = 5 -42 = -37 $
$ a = -5 $, $ b = 7 $: $ -5 + 42 = 37 $
$ a = 7 $, $ b = -5 $: $ 7 -30 = -23 $
$ a = -7 $, $ b = 5 $: $ -7 + 30 = 23 $
$ a = 35 $, $ b = -1 $: $ 35 -6 = 29 $
$ a = -35 $, $ b = 1 $: $ -35 -6 = -41 $
$ a = 1 $, $ b = -35 $: $ 1 -210 = -209 $