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\left(-\frac{1}{2}x+37\right)\left(5x+50\right)
Subtract 18 from 55 to get 37.
-\frac{1}{2}x\times 5x-\frac{1}{2}x\times 50+185x+1850
Apply the distributive property by multiplying each term of -\frac{1}{2}x+37 by each term of 5x+50.
-\frac{1}{2}x^{2}\times 5-\frac{1}{2}x\times 50+185x+1850
Multiply x and x to get x^{2}.
\frac{-5}{2}x^{2}-\frac{1}{2}x\times 50+185x+1850
Express -\frac{1}{2}\times 5 as a single fraction.
-\frac{5}{2}x^{2}-\frac{1}{2}x\times 50+185x+1850
Fraction \frac{-5}{2} can be rewritten as -\frac{5}{2} by extracting the negative sign.
-\frac{5}{2}x^{2}+\frac{-50}{2}x+185x+1850
Express -\frac{1}{2}\times 50 as a single fraction.
-\frac{5}{2}x^{2}-25x+185x+1850
Divide -50 by 2 to get -25.
-\frac{5}{2}x^{2}+160x+1850
Combine -25x and 185x to get 160x.
\left(-\frac{1}{2}x+37\right)\left(5x+50\right)
Subtract 18 from 55 to get 37.
-\frac{1}{2}x\times 5x-\frac{1}{2}x\times 50+185x+1850
Apply the distributive property by multiplying each term of -\frac{1}{2}x+37 by each term of 5x+50.
-\frac{1}{2}x^{2}\times 5-\frac{1}{2}x\times 50+185x+1850
Multiply x and x to get x^{2}.
\frac{-5}{2}x^{2}-\frac{1}{2}x\times 50+185x+1850
Express -\frac{1}{2}\times 5 as a single fraction.
-\frac{5}{2}x^{2}-\frac{1}{2}x\times 50+185x+1850
Fraction \frac{-5}{2} can be rewritten as -\frac{5}{2} by extracting the negative sign.
-\frac{5}{2}x^{2}+\frac{-50}{2}x+185x+1850
Express -\frac{1}{2}\times 50 as a single fraction.
-\frac{5}{2}x^{2}-25x+185x+1850
Divide -50 by 2 to get -25.
-\frac{5}{2}x^{2}+160x+1850
Combine -25x and 185x to get 160x.