Solve Quadratic Inequality: x²-4x+3≤(3x+5)(2x-3)

[moondaaay]

Homework Statement

How to solve this kind of inequality?
x²-4x+3≤(3x+5)(2x-3)

Homework Equations

The Attempt at a Solution

:[/B]
I'm confused. Should I factor the left side or should I FOIL the right side then equate it to zero to find the critical numbers? Help pleaasee.

 

[symbolipoint]

Simplify the inequality and arrange for all terms to be on one side and 0 on the other side. The quadratic inequality can then be examined for the three intervals on x. The critical values will be the roots of the simplified quadratic expression.