Answer:
The two solutions for x are:
[tex] - \frac{5}{2} [/tex]
and
[tex]1[/tex]
Step-by-step explanation:
Order and solve the quadratic:
[tex]3x - 5 = - 2{x}^{2} \\ 2 {x}^{2} + 3x - 5 = 0 \\ 2 {x}^{2} - 2x + 5x - 5 = 0 \\ 2x(x - 1) + 5(x - 1) = 0 \\ (2x + 5)(x - 1) = 0 \\ \\ 2x + 5 = 0 \\ 2x = - 5 \\ x = - \frac{5}{2} \\ \\ x - 1 = 0 \\ x = 1[/tex]
