s+212⋅s+20=62

Convert 212 to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

s+(2+12)⋅s+20=62

Add 2 and 12.

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

Add 4 and 1.

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

Add s⋅2 and 5s.

Reorder s and 2.

2⋅s+5s2+20=62

Add 2⋅s and 5s.

7⋅s2+20=62

7s2+20=62

7s2+20=62

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 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