The height of a triangle is 5 meters less than 6 times its base. If the area of the triangle is 172 square meters, find the base and height of the triangle.

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x