7(t^2+5t-9)+t=t(7t-2)+3

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Solution for 7(t^2+5t-9)+t=t(7t-2)+3 equation:



7(t^2+5t-9)+t=t(7t-2)+3
We move all terms to the left:
7(t^2+5t-9)+t-(t(7t-2)+3)=0
We add all the numbers together, and all the variables
t+7(t^2+5t-9)-(t(7t-2)+3)=0
We multiply parentheses
7t^2+t+35t-(t(7t-2)+3)-63=0
We calculate terms in parentheses: -(t(7t-2)+3), so:
t(7t-2)+3
We multiply parentheses
7t^2-2t+3
Back to the equation:
-(7t^2-2t+3)
We add all the numbers together, and all the variables
7t^2+36t-(7t^2-2t+3)-63=0
We get rid of parentheses
7t^2-7t^2+36t+2t-3-63=0
We add all the numbers together, and all the variables
38t-66=0
We move all terms containing t to the left, all other terms to the right
38t=66
t=66/38
t=1+14/19

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