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\frac{75x-4x^{3}}{2}
Factor out \frac{1}{2}.
x\left(75-4x^{2}\right)
Consider 75x-4x^{3}. Factor out x.
\frac{x\left(75-4x^{2}\right)}{2}
Rewrite the complete factored expression. Polynomial 75-4x^{2} is not factored since it does not have any rational roots.
\frac{75}{2}x-2x^{3}
Divide 150x by 4 to get \frac{75}{2}x.