Answer:
x=0,x=1/4
Explanation:
2x=8(x^2)
Subtract 8(x^2) from both sides
2x-8x^2=8x^2-8x^2
Simplify
2x-8x^2=0
Factor 2x-8x^2;
2x-8x^2
=-8xx+2x
Rewrite 8 as 2*4
=-2*4xx+2x
Factor out common term -2x
=-2x(4x-1)
-2x(4x-1)=0
x=0 or 4x-1=0
Solve 4x-1=0;x=1/4
4x-1=0
Add 1 to both sides
4x-1+1=0+1
Simplify
4x=1
Divide both sides by 4
4x/4=1/4
Simplify
x=1/4
The solutions to the quadratic equation are;
x=0,x=1/4
Hope this helped!!!!