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5\left(2x^{3}-2x^{2}+3x\right)
Factor out 5.
x\left(2x^{2}-2x+3\right)
Consider 2x^{3}-2x^{2}+3x. Factor out x.
5x\left(2x^{2}-2x+3\right)
Rewrite the complete factored expression. Polynomial 2x^{2}-2x+3 is not factored since it does not have any rational roots.