Solve for K K=(1/2)(m)(b^2)+(m)(g)(h)-1/2mv^2+(m)(g)(h)

Math
K=(12)(m)(b2)+(m)(g)(h)-12mv2+(m)(g)(h)
Remove parentheses.
K=(12)(m)(b2)+(m)(g)(h)-12⋅(mv2)+(m)(g)(h)
Simplify (12)(m)(b2)+(m)(g)(h)-12⋅(mv2)+(m)(g)(h).
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Simplify each term.
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Combine 12 and m.
K=m2b2+(m)(g)(h)-12⋅(mv2)+(m)(g)(h)
Combine m2 and b2.
K=mb22+(m)(g)(h)-12⋅(mv2)+(m)(g)(h)
Multiply -12(mv2).
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Combine m and 12.
K=mb22+mgh-m2v2+(m)(g)(h)
Combine v2 and m2.
K=mb22+mgh-v2m2+(m)(g)(h)
K=mb22+mgh-v2m2+mgh
K=mb22+mgh-v2m2+mgh
Simplify by adding terms.
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Add mgh and mgh.
K=mb22-v2m2+2mgh
Simplify the expression.
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Reorder m and b2.
K=b2m2-v2m2+2mgh
Reorder v2 and m.
K=b2m2-mv22+2mgh
Move m.
K=b2m2-mv22+2ghm
Move -mv22.
K=b2m2+2ghm-mv22
Reorder b2m2 and 2ghm.
K=2ghm+b2m2-mv22
K=2ghm+b2m2-mv22
K=2ghm+b2m2-mv22
K=2ghm+b2m2-mv22
Solve for K K=(1/2)(m)(b^2)+(m)(g)(h)-1/2mv^2+(m)(g)(h)

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