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Solve for λ
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4x+2=-\lambda
Subtract \lambda from both sides. Anything subtracted from zero gives its negation.
4x=-\lambda -2
Subtract 2 from both sides.
\frac{4x}{4}=\frac{-\lambda -2}{4}
Divide both sides by 4.
x=\frac{-\lambda -2}{4}
Dividing by 4 undoes the multiplication by 4.
x=-\frac{\lambda }{4}-\frac{1}{2}
Divide -\lambda -2 by 4.
\lambda +2=-4x
Subtract 4x from both sides. Anything subtracted from zero gives its negation.
\lambda =-4x-2
Subtract 2 from both sides.