Answer:
the value of x are -1 and [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
we need to find the factor of 2x²-x=3
subtract both the sides by 3, in above expression
2x²- x - 3 = 3 - 3
2x²- x - 3 = 0
we can write x as -3x + 2x
2x²- 3x +2x - 3 = 0
2x²+ 2x -3x - 3 = 0
take out the common terms,
2x(x+ 1) -3(x +1) = 0
(x+ 1)(2x-3) = 0
If x+ 1 =0
⇒ x = -1
If 2x - 3=0
⇒ [tex]x=\frac{3}{2}[/tex]
Therefore, the value of x are -1 and [tex]\frac{3}{2}[/tex]
