For the equation,here's the steps:
[tex] \frac{4}{5} {x}^{2} = 2x - \frac{4}{5} \\ 0 = 5( - \frac{4}{5} {x}^{2} + 2x - \frac{4}{5} ) \\ 0 = - 4 {x}^{2} + 10x - 4 \\ by \: cross \: method\\ 0 = (2x - 1)(x - 2 ) \\ or \: by \: quadratic \: formula \\ x = \frac{ {10}^{2} \binom{ + }{ - } \sqrt{ - 4(4)(4)} }{ - 2(4)} \\ x = 2 \: or \: \frac{1}{2} [/tex]
Hope it helps!
