m3+m6=21

To write m3 as a fraction with a common denominator, multiply by 22.

m3⋅22+m6=21

Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.

Multiply m3 and 22.

m⋅23⋅2+m6=21

Multiply 3 by 2.

m⋅26+m6=21

m⋅26+m6=21

Combine the numerators over the common denominator.

m⋅2+m6=21

Simplify the numerator.

Move 2 to the left of m.

2⋅m+m6=21

Add 2m and m.

3m6=21

3m6=21

Cancel the common factor of 3 and 6.

Factor 3 out of 3m.

3(m)6=21

Cancel the common factors.

Factor 3 out of 6.

3m3⋅2=21

Cancel the common factor.

3m3⋅2=21

Rewrite the expression.

m2=21

m2=21

m2=21

m2=21

Multiply both sides of the equation by 2.

2⋅m2=2⋅21

Cancel the common factor of 2.

Cancel the common factor.

2⋅m2=2⋅21

Rewrite the expression.

m=2⋅21

m=2⋅21

Multiply 2 by 21.

m=42

m=42

Solve for m m/3+m/6=21