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

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



t(t+3)-t(t-5)=4(t-5)-7(t-3)
We move all terms to the left:
t(t+3)-t(t-5)-(4(t-5)-7(t-3))=0
We multiply parentheses
t^2-t^2+3t+5t-(4(t-5)-7(t-3))=0
We calculate terms in parentheses: -(4(t-5)-7(t-3)), so:
4(t-5)-7(t-3)
We multiply parentheses
4t-7t-20+21
We add all the numbers together, and all the variables
-3t+1
Back to the equation:
-(-3t+1)
We add all the numbers together, and all the variables
8t-(-3t+1)=0
We get rid of parentheses
8t+3t-1=0
We add all the numbers together, and all the variables
11t-1=0
We move all terms containing t to the left, all other terms to the right
11t=1
t=1/11
t=1/11

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