Calculate: 8x^2-2x+1=0

Expression: $8{x}^{2}-2x+1=0$

Identify the coefficients $a$, $b$ and $c$ of the quadratic equation

$\begin{array} { l }a=8,& b=-2,& c=1\end{array}$

Evaluate the discriminant by substituting $a=8$, $b=-2$ and $c=1$ into the expression ${b}^{2}-4ac$

${\left( -2 \right)}^{2}-4 \times 8 \times 1$

Simplify the expression

$-28$

The discriminant is less than $0$, so the quadratic equation has no real solutions

$\textnormal{No real solutions}$