Solve for b
b=-\frac{2}{5}=-0.4
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4\sqrt{5}+5\sqrt{5}b=2\sqrt{5}
Multiply both sides of the equation by 5.
5\sqrt{5}b=2\sqrt{5}-4\sqrt{5}
Subtract 4\sqrt{5} from both sides.
5\sqrt{5}b=-2\sqrt{5}
Combine 2\sqrt{5} and -4\sqrt{5} to get -2\sqrt{5}.
\frac{5\sqrt{5}b}{5\sqrt{5}}=-\frac{2\sqrt{5}}{5\sqrt{5}}
Divide both sides by 5\sqrt{5}.
b=-\frac{2\sqrt{5}}{5\sqrt{5}}
Dividing by 5\sqrt{5} undoes the multiplication by 5\sqrt{5}.
b=-\frac{2}{5}
Divide -2\sqrt{5} by 5\sqrt{5}.
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