A) x= -1/2 or x = 2
B) x = -2 or x = 1/2
C) x = -3/2 or x = 1
D) x = 1 or x = 3/2
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Answer:
[tex]x = \frac{ - 3}{2} \\ \\x = 1[/tex]
Step-by-step explanation:
[tex]2 {x}^{2} + x - 1 = 2 \\ 2 {x}^{2} + x - 1 - 2 = 0 \\ 2 {x}^{2} + x - 3 = 0 \\ 2 {x}^{2} - 2x + 3x - 3 = 0 \\ 2x(x - 1) + 3(x - 1) = 0 \\ (2x + 3)(x - 1) = 0 \\ \\ 2x + 3 = 0 \\ 2x = 0 - 3 \\ \frac{2x}{2} = \frac{ - 3}{2} \\ x = \frac{ - 3}{2 } \\ \\ x - 1 = 0 \\ x = 0 + 1 \\ x = 1[/tex]
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