Evaluate
3x^{3}-\frac{25x^{2}}{2}+5x
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3x^{3}-\frac{25x^{2}}{2}+5x
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\left(3x-\frac{5}{2}\right)x^{2}-2\left(5x-\frac{1}{2}-2\right)x
Subtract 2 from -\frac{1}{2} to get -\frac{5}{2}.
3x^{3}-\frac{5}{2}x^{2}-2\left(5x-\frac{1}{2}-2\right)x
Use the distributive property to multiply 3x-\frac{5}{2} by x^{2}.
3x^{3}-\frac{5}{2}x^{2}-2\left(5x-\frac{5}{2}\right)x
Subtract 2 from -\frac{1}{2} to get -\frac{5}{2}.
3x^{3}-\frac{5}{2}x^{2}+\left(-10x+5\right)x
Use the distributive property to multiply -2 by 5x-\frac{5}{2}.
3x^{3}-\frac{5}{2}x^{2}-10x^{2}+5x
Use the distributive property to multiply -10x+5 by x.
3x^{3}-\frac{25}{2}x^{2}+5x
Combine -\frac{5}{2}x^{2} and -10x^{2} to get -\frac{25}{2}x^{2}.
\left(3x-\frac{5}{2}\right)x^{2}-2\left(5x-\frac{1}{2}-2\right)x
Subtract 2 from -\frac{1}{2} to get -\frac{5}{2}.
3x^{3}-\frac{5}{2}x^{2}-2\left(5x-\frac{1}{2}-2\right)x
Use the distributive property to multiply 3x-\frac{5}{2} by x^{2}.
3x^{3}-\frac{5}{2}x^{2}-2\left(5x-\frac{5}{2}\right)x
Subtract 2 from -\frac{1}{2} to get -\frac{5}{2}.
3x^{3}-\frac{5}{2}x^{2}+\left(-10x+5\right)x
Use the distributive property to multiply -2 by 5x-\frac{5}{2}.
3x^{3}-\frac{5}{2}x^{2}-10x^{2}+5x
Use the distributive property to multiply -10x+5 by x.
3x^{3}-\frac{25}{2}x^{2}+5x
Combine -\frac{5}{2}x^{2} and -10x^{2} to get -\frac{25}{2}x^{2}.
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