Why is decomposition failing me here

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Why is decomposition failing me here, and what can I do about it in the future

$$8x^2+10x+3 = 8x^2-2x+12x+3 = -2x(-4x+1)+3(4x+1) $$

see how one $4x$ is negative? That's what I mean by failing

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$8x^2+10x+3 = (8x^2 + 4x) + (6x + 3) = 4x(2x+1)+3(2x+1)=(4x+3)(2x+1)$