Solve for n
n=-1
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2\times 3+3n\times 5=3n\times 3
Variable n cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6n^{2}, the least common multiple of 3n^{2},2n.
6+3n\times 5=3n\times 3
Multiply 2 and 3 to get 6.
6+15n=3n\times 3
Multiply 3 and 5 to get 15.
6+15n=9n
Multiply 3 and 3 to get 9.
6+15n-9n=0
Subtract 9n from both sides.
6+6n=0
Combine 15n and -9n to get 6n.
6n=-6
Subtract 6 from both sides. Anything subtracted from zero gives its negation.
n=\frac{-6}{6}
Divide both sides by 6.
n=-1
Divide -6 by 6 to get -1.
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