(4a-3)(3a+4)=(2a-1)(6a+1)

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Solution for (4a-3)(3a+4)=(2a-1)(6a+1) equation:



(4a-3)(3a+4)=(2a-1)(6a+1)
We move all terms to the left:
(4a-3)(3a+4)-((2a-1)(6a+1))=0
We multiply parentheses ..
(+12a^2+16a-9a-12)-((2a-1)(6a+1))=0
We calculate terms in parentheses: -((2a-1)(6a+1)), so:
(2a-1)(6a+1)
We multiply parentheses ..
(+12a^2+2a-6a-1)
We get rid of parentheses
12a^2+2a-6a-1
We add all the numbers together, and all the variables
12a^2-4a-1
Back to the equation:
-(12a^2-4a-1)
We get rid of parentheses
12a^2-12a^2+16a-9a+4a-12+1=0
We add all the numbers together, and all the variables
11a-11=0
We move all terms containing a to the left, all other terms to the right
11a=11
a=11/11
a=1

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