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(2t-1)(2t+1)-(4t-3)=4t*(t-2)
We move all terms to the left:
(2t-1)(2t+1)-(4t-3)-(4t*(t-2))=0
We use the square of the difference formula
4t^2-(4t-3)-(4t*(t-2))-1=0
We get rid of parentheses
4t^2-4t-(4t*(t-2))+3-1=0
We calculate terms in parentheses: -(4t*(t-2)), so:We add all the numbers together, and all the variables
4t*(t-2)
We multiply parentheses
4t^2-8t
Back to the equation:
-(4t^2-8t)
4t^2-4t-(4t^2-8t)+2=0
We get rid of parentheses
4t^2-4t^2-4t+8t+2=0
We add all the numbers together, and all the variables
4t+2=0
We move all terms containing t to the left, all other terms to the right
4t=-2
t=-2/4
t=-1/2
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