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A square field had 5 meters added to the length and 2 meters to its width.
The field then had an area of 130 meters squared.
Find the length of a side of the original field.
Let x = side of original field
(x+5) = the new length
(x+2) = the new width
L * W = 130
(x+5)(x+2) = 130
x^2 + 2x + 5x + 10 = 130
x^2 + 7x + 10 - 130 = 0
x^2 + 7x - 120 = 0
(x + 15)(x - 8) = 0
The positive solution is what we want here
x = 8 meters, side of original square
Check solution by finding the area of the new rectangle
(8+5)*(8+2) = 130