Answer:
5/3 , -1
Step-by-step explanation:
You can find the roots of the equation by factoring. First, write the quadratic into standard form as [tex]ax^2+bx+c = 0[/tex].
[tex]2x - 3 = -5x^2\\5x^2+2x-3=0[/tex]
The equation factors into two binomials (5x-3)(x+1). Set each factor to 0 and solve for x.
5x - 3 = 0
5x = 3
x = 3/5
x+1 = 0
x=-1
