(4x-1)(4x+1)=8x(2x-1)

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Solution for (4x-1)(4x+1)=8x(2x-1) equation:



(4x-1)(4x+1)=8x(2x-1)
We move all terms to the left:
(4x-1)(4x+1)-(8x(2x-1))=0
We use the square of the difference formula
16x^2-(8x(2x-1))-1=0
We calculate terms in parentheses: -(8x(2x-1)), so:
8x(2x-1)
We multiply parentheses
16x^2-8x
Back to the equation:
-(16x^2-8x)
We get rid of parentheses
16x^2-16x^2+8x-1=0
We add all the numbers together, and all the variables
8x-1=0
We move all terms containing x to the left, all other terms to the right
8x=1
x=1/8
x=1/8

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