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5/(2x+1)-8x(2x-1)=-4
We move all terms to the left:
5/(2x+1)-8x(2x-1)-(-4)=0
Domain of the equation: (2x+1)!=0We add all the numbers together, and all the variables
We move all terms containing x to the left, all other terms to the right
2x!=-1
x!=-1/2
x!=-1/2
x∈R
5/(2x+1)-8x(2x-1)+4=0
We multiply parentheses
-16x^2+5/(2x+1)+8x+4=0
We multiply all the terms by the denominator
-16x^2*(2x+1)+8x*(2x+1)+4*(2x+1)+5=0
We multiply parentheses
-16x^2*(2x+1)+16x^2+8x+8x+4+5=0
We add all the numbers together, and all the variables
16x^2-16x^2*(2x+1)+16x+9=0
We move all terms containing x to the left, all other terms to the right
16x^2-16x^2*(2x+1)+16x=-9
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