assuming it equals 0
for
ax^2+bx+c=0
x=\(\frac{-b+/- \sqrt{b^2-4ac} }{2a}\)
given
5x^2+2x-3=0
a=5
b=2
c=-3
x=\(\frac{-2+/- \sqrt{2^2-4(5)(-3)} }{2(5)}\)
x=\(\frac{-2+/- \sqrt{4+60} }{10}\)
x=\(\frac{-2+/- \sqrt{64} }{10}\)
x=\(\frac{-2+/- 8 }{10}\)
x=(-2+8)/10 or (-2-8)/10
x=6/10 or -10/10
x=3/5 or -1