Answer
$x = -1.11$ or $x = 0.91$
Work Step by Step
You are given the quadratic equation $x^2+0.5x=0.3x+1$.
This equation can be simplified to give $x^2+0.2x-1=0$.
Input this equation into a graphing calculator and look at where the line intercepts the x-axis specifically.
In this case, the line intercepts the x-axis at $x = -1.105$ and $x= 0.905$.
Round these values to the nearest hundredth or to 2 decimal places, so;
$x = -1.11$ and $x= 0.91$.