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0\times 1\left(t-130\right)+400\left(t-10\right)=0
Multiply 800 and 0 to get 0.
0\left(t-130\right)+400\left(t-10\right)=0
Multiply 0 and 1 to get 0.
0+400\left(t-10\right)=0
Anything times zero gives zero.
0+400t-4000=0
Use the distributive property to multiply 400 by t-10.
-4000+400t=0
Subtract 4000 from 0 to get -4000.
400t=4000
Add 4000 to both sides. Anything plus zero gives itself.
t=\frac{4000}{400}
Divide both sides by 400.
t=10
Divide 4000 by 400 to get 10.