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x\left(5xy-10y^{2}+3x-6y\right)
Factor out x.
5y\left(x-2y\right)+3\left(x-2y\right)
Consider 5xy-10y^{2}+3x-6y. Do the grouping 5xy-10y^{2}+3x-6y=\left(5xy-10y^{2}\right)+\left(3x-6y\right), and factor out 5y in the first and 3 in the second group.
\left(x-2y\right)\left(5y+3\right)
Factor out common term x-2y by using distributive property.
x\left(x-2y\right)\left(5y+3\right)
Rewrite the complete factored expression.