Solve for t
t=5
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\left(t-3\right)\times 5-t\times 2=0
Variable t cannot be equal to any of the values 0,3 since division by zero is not defined. Multiply both sides of the equation by t\left(t-3\right), the least common multiple of t,t-3.
5t-15-t\times 2=0
Use the distributive property to multiply t-3 by 5.
5t-t\times 2=15
Add 15 to both sides. Anything plus zero gives itself.
5t-2t=15
Multiply -1 and 2 to get -2.
3t=15
Combine 5t and -2t to get 3t.
t=\frac{15}{3}
Divide both sides by 3.
t=5
Divide 15 by 3 to get 5.
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