Answer
The solutions are $x=2$ and $x=\dfrac{1}{5}$
Work Step by Step
$5x^{2}+2=11x$
Take $11x$ to the left side:
$5x^{2}-11x+2=0$
Solve this equation by factoring:
$(5x-1)(x-2)=0$
Set both factors equal to $0$ and solve each individual equation for $x$:
$5x-1=0$
$5x=1$
$x=\dfrac{1}{5}$
$x-2=0$
$x=2$
The solutions are $x=2$ and $x=\dfrac{1}{5}$
