# Solve for g s=(1/2)gt^2

s=(12)gt2
Rewrite the equation as (12)gt2=s.
(12)gt2=s
Simplify.
Combine 12 and g.
g2t2=s
Combine g2 and t2.
gt22=s
gt22=s
Divide each term by 12t2 and simplify.
Divide each term in gt22=s by 12t2.
gt22⋅112t2=s12t2
Simplify gt22⋅112t2.
Combine 12 and t2.
gt22⋅1t22=s12t2
Multiply the numerator by the reciprocal of the denominator.
gt22⋅(12t2)=s12t2
Multiply 2t2 by 1.
gt22⋅2t2=s12t2
Cancel the common factor of t2.
Factor t2 out of gt2.
t2g2⋅2t2=s12t2
Cancel the common factor.
t2g2⋅2t2=s12t2
Rewrite the expression.
g2⋅2=s12t2
g2⋅2=s12t2
Cancel the common factor of 2.
Cancel the common factor.
g2⋅2=s12t2
Rewrite the expression.
g=s12t2
g=s12t2
g=s12t2
Simplify s12t2.
Combine 12 and t2.
g=st22
Multiply the numerator by the reciprocal of the denominator.
g=s2t2
Combine s and 2t2.
g=s⋅2t2
Move 2 to the left of s.
g=2st2
g=2st2
g=2st2
Solve for g s=(1/2)gt^2

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