The problem
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"In order to solve this non-linear equation, we will apply the zero product theorem.
That means that each variable factor in the original equation needs to be set to zero."
This is not clear or well explained and googling is not helping.
Answer provided by our tutors
Zero Product Theorem states that if the product is zero, that is, A*B=0 then either A = 0 or B = 0.
In your case, A = 3, B = -2x^2 - x + 2. Since A is not 0 then B must be 0 thus we have:
- 2x^2 - x + 2 = 0
Multiply both sides by (-1)
2x^2 + x - 2 = 0
This is quadratic equation so we apply quadratic formula to find the solutions.