Solve for k
k=\frac{x^{2}+w+150}{31}
Solve for w
w=-\left(x^{2}-31k+150\right)
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-x^{2}+31k-150=w
Swap sides so that all variable terms are on the left hand side.
31k-150=w+x^{2}
Add x^{2} to both sides.
31k=w+x^{2}+150
Add 150 to both sides.
31k=x^{2}+w+150
The equation is in standard form.
\frac{31k}{31}=\frac{x^{2}+w+150}{31}
Divide both sides by 31.
k=\frac{x^{2}+w+150}{31}
Dividing by 31 undoes the multiplication by 31.
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