# Solve for s s+2 1/2*s+20=62

s+212⋅s+20=62
Simplify s+212⋅s+20.
Convert 212 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
s+(2+12)⋅s+20=62
To write 2 as a fraction with a common denominator, multiply by 22.
s+(2⋅22+12)⋅s+20=62
Combine 2 and 22.
s+(2⋅22+12)⋅s+20=62
Combine the numerators over the common denominator.
s+2⋅2+12⋅s+20=62
Simplify the numerator.
Multiply 2 by 2.
s+4+12⋅s+20=62
s+52⋅s+20=62
s+52⋅s+20=62
s+52⋅s+20=62
s+52⋅s+20=62
Combine 52 and s.
s+5s2+20=62
To write s as a fraction with a common denominator, multiply by 22.
s⋅22+5s2+20=62
Combine s and 22.
s⋅22+5s2+20=62
Combine the numerators over the common denominator.
s⋅2+5s2+20=62
Reorder s and 2.
2⋅s+5s2+20=62
7⋅s2+20=62
7s2+20=62
7s2+20=62
Move all terms not containing s to the right side of the equation.
Subtract 20 from both sides of the equation.
7s2=62-20
Subtract 20 from 62.
7s2=42
7s2=42
Multiply both sides of the equation by 27.
27⋅7s2=27⋅42
Simplify both sides of the equation.
Simplify 27⋅7s2.
Cancel the common factor of 2.
Cancel the common factor.
27⋅7s2=27⋅42
Rewrite the expression.
17⋅(7s)=27⋅42
17⋅(7s)=27⋅42
Cancel the common factor of 7.
Factor 7 out of 7s.
17⋅(7(s))=27⋅42
Cancel the common factor.
17⋅(7s)=27⋅42
Rewrite the expression.
s=27⋅42
s=27⋅42
s=27⋅42
Simplify 27⋅42.
Cancel the common factor of 7.
Factor 7 out of 42.
s=27⋅(7(6))
Cancel the common factor.
s=27⋅(7⋅6)
Rewrite the expression.
s=2⋅6
s=2⋅6
Multiply 2 by 6.
s=12
s=12
s=12
Solve for s s+2 1/2*s+20=62