You can rewrite the equation as
[tex]3x^2-4x=0 \iff 3x^2=4x[/tex]
So, you draw the graph of [tex]y=3x^2[/tex] (the parabola), and then the graph of [tex]y=4x[/tex] (the line), and see where they intersect.
One of the ways of solving an equation is by graphical method.
The point of intersection of [tex]\mathbf{y = 4x }[/tex] and [tex]\mathbf{y = 3x^2 }[/tex], as the solution to the equation.
The equation is given as:
[tex]\mathbf{3x^2 - 4x = 0}[/tex]
From the question, we understand that;
She has already plotted the graph of: [tex]\mathbf{y = 3x^2 }[/tex]
The next step is to draw the graph of: [tex]\mathbf{y = 4x }[/tex]
Then, take the point of intersection of [tex]\mathbf{y = 4x }[/tex] and [tex]\mathbf{y = 3x^2 }[/tex], as the solution to the equation.
See attachment for the graphs of [tex]\mathbf{y = 4x }[/tex] and [tex]\mathbf{y = 3x^2 }[/tex]
From the attached graph, the solution to [tex]\mathbf{3x^2 - 4x = 0}[/tex] is x = 0 and x = 4/3
Read more about graphical methods of solving equations at:
https://brainly.com/question/11987003
