Quadratic Equations

After the price is reduced by $x , the new price is $(40 - x) ,
and 30 + 2x frames can be sold.(40 - x) (30 + 2x) = 1472
1200 + 80x - 30x - 2x² = 1472
2x² - 50x + 272 = 0
2x .... - 34
..... X
x...... - 8
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- 8(2x) - 34x = - 50x
(2x - 34) (x - 8) = 0x = 17 or x = 8
The price(in $) of a photo frame such that the total income is $1472
is $ (40 - x) = 40 - 17 = 23 or 40 - 8 = 32 .