Evaluate
\frac{5\left(x-440\right)\left(x-420\right)}{2}
Expand
\frac{5x^{2}}{2}-2150x+462000
Graph
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\left(\frac{5}{2}x+\frac{5}{2}\left(-440\right)\right)\left(x-420\right)
Use the distributive property to multiply \frac{5}{2} by x-440.
\left(\frac{5}{2}x+\frac{5\left(-440\right)}{2}\right)\left(x-420\right)
Express \frac{5}{2}\left(-440\right) as a single fraction.
\left(\frac{5}{2}x+\frac{-2200}{2}\right)\left(x-420\right)
Multiply 5 and -440 to get -2200.
\left(\frac{5}{2}x-1100\right)\left(x-420\right)
Divide -2200 by 2 to get -1100.
\frac{5}{2}xx+\frac{5}{2}x\left(-420\right)-1100x+462000
Apply the distributive property by multiplying each term of \frac{5}{2}x-1100 by each term of x-420.
\frac{5}{2}x^{2}+\frac{5}{2}x\left(-420\right)-1100x+462000
Multiply x and x to get x^{2}.
\frac{5}{2}x^{2}+\frac{5\left(-420\right)}{2}x-1100x+462000
Express \frac{5}{2}\left(-420\right) as a single fraction.
\frac{5}{2}x^{2}+\frac{-2100}{2}x-1100x+462000
Multiply 5 and -420 to get -2100.
\frac{5}{2}x^{2}-1050x-1100x+462000
Divide -2100 by 2 to get -1050.
\frac{5}{2}x^{2}-2150x+462000
Combine -1050x and -1100x to get -2150x.
\left(\frac{5}{2}x+\frac{5}{2}\left(-440\right)\right)\left(x-420\right)
Use the distributive property to multiply \frac{5}{2} by x-440.
\left(\frac{5}{2}x+\frac{5\left(-440\right)}{2}\right)\left(x-420\right)
Express \frac{5}{2}\left(-440\right) as a single fraction.
\left(\frac{5}{2}x+\frac{-2200}{2}\right)\left(x-420\right)
Multiply 5 and -440 to get -2200.
\left(\frac{5}{2}x-1100\right)\left(x-420\right)
Divide -2200 by 2 to get -1100.
\frac{5}{2}xx+\frac{5}{2}x\left(-420\right)-1100x+462000
Apply the distributive property by multiplying each term of \frac{5}{2}x-1100 by each term of x-420.
\frac{5}{2}x^{2}+\frac{5}{2}x\left(-420\right)-1100x+462000
Multiply x and x to get x^{2}.
\frac{5}{2}x^{2}+\frac{5\left(-420\right)}{2}x-1100x+462000
Express \frac{5}{2}\left(-420\right) as a single fraction.
\frac{5}{2}x^{2}+\frac{-2100}{2}x-1100x+462000
Multiply 5 and -420 to get -2100.
\frac{5}{2}x^{2}-1050x-1100x+462000
Divide -2100 by 2 to get -1050.
\frac{5}{2}x^{2}-2150x+462000
Combine -1050x and -1100x to get -2150x.
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Limits
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