4n5+15=-910

Subtract 15 from both sides of the equation.

4n5=-910-15

To write -15 as a fraction with a common denominator, multiply by 22.

4n5=-910-15⋅22

Write each expression with a common denominator of 10, by multiplying each by an appropriate factor of 1.

Multiply 15 and 22.

4n5=-910-25⋅2

Multiply 5 by 2.

4n5=-910-210

4n5=-910-210

Combine the numerators over the common denominator.

4n5=-9-210

Subtract 2 from -9.

4n5=-1110

Move the negative in front of the fraction.

4n5=-1110

4n5=-1110

Multiply both sides of the equation by 54.

54⋅4n5=54⋅(-1110)

Simplify 54⋅4n5.

Cancel the common factor of 5.

Cancel the common factor.

54⋅4n5=54⋅(-1110)

Rewrite the expression.

14⋅(4n)=54⋅(-1110)

14⋅(4n)=54⋅(-1110)

Cancel the common factor of 4.

Factor 4 out of 4n.

14⋅(4(n))=54⋅(-1110)

Cancel the common factor.

14⋅(4n)=54⋅(-1110)

Rewrite the expression.

n=54⋅(-1110)

n=54⋅(-1110)

n=54⋅(-1110)

Simplify 54⋅(-1110).

Cancel the common factor of 5.

Move the leading negative in -1110 into the numerator.

n=54⋅-1110

Factor 5 out of 10.

n=54⋅-115(2)

Cancel the common factor.

n=54⋅-115⋅2

Rewrite the expression.

n=14⋅-112

n=14⋅-112

Multiply 14 and -112.

n=-114⋅2

Simplify the expression.

Multiply 4 by 2.

n=-118

Move the negative in front of the fraction.

n=-118

n=-118

n=-118

n=-118

The result can be shown in multiple forms.

Exact Form:

n=-118

Decimal Form:

n=-1.375

Mixed Number Form:

n=-138

Solve for n (4n)/5+1/5=-9/10