(3t-4)(6t+2)=(6t-5)(3t+7)

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Solution for (3t-4)(6t+2)=(6t-5)(3t+7) equation:



(3t-4)(6t+2)=(6t-5)(3t+7)
We move all terms to the left:
(3t-4)(6t+2)-((6t-5)(3t+7))=0
We multiply parentheses ..
(+18t^2+6t-24t-8)-((6t-5)(3t+7))=0
We calculate terms in parentheses: -((6t-5)(3t+7)), so:
(6t-5)(3t+7)
We multiply parentheses ..
(+18t^2+42t-15t-35)
We get rid of parentheses
18t^2+42t-15t-35
We add all the numbers together, and all the variables
18t^2+27t-35
Back to the equation:
-(18t^2+27t-35)
We get rid of parentheses
18t^2-18t^2+6t-24t-27t-8+35=0
We add all the numbers together, and all the variables
-45t+27=0
We move all terms containing t to the left, all other terms to the right
-45t=-27
t=-27/-45
t=3/5

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