Answer
$x(5x+7)(5x-2)$
Work Step by Step
$25x^3+25x^2-14x=x(25x^2+25x-14)=x(25x^2+35x-10x-14)=x(5x(5x+7)-2(5x+7))=x((5x+7)(5x-2))=x(5x+7)(5x-2)$
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