Answer:
x = 1 or 5
Explanation:
You want the value(s) of x that make 3x^2-x+1 and 2x^2+5x-4 have the same value.
Equation
Equating their values, we have ...
3x² -x +1 = 2x² +5x -4
x² -6x +5 = 0 . . . . . . . . . subtract (2x²+5x-4)
(x -5)(x -1) = 0 . . . . . . . factor
x = 1 or x = 5 . . . . . . values of x that make the factors zero
The two trinomials will have the same value for x=1 and for x=5.
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Additional comment
The attached graph shows the points where the trinomials have the same value.