Determine the length b of the triangular load and its position a on the beam such that

Question:

Determine the length b of the triangular load and its position a on the beam such that the equivalent resultant force is zero and the resultant couple moment is M clockwise.
Units Used:
kN = 103 N

Given:
w1 = 4kN/m w2 = 2.5 kN/m
M = 8 kN ∙ m c = 9 m