Solve for x
x = -\frac{3 \sqrt{2}}{2} \approx -2.121320344
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5\sqrt{2}x+15=0
Factor 50=5^{2}\times 2. Rewrite the square root of the product \sqrt{5^{2}\times 2} as the product of square roots \sqrt{5^{2}}\sqrt{2}. Take the square root of 5^{2}.
5\sqrt{2}x=-15
Subtract 15 from both sides. Anything subtracted from zero gives its negation.
\frac{5\sqrt{2}x}{5\sqrt{2}}=-\frac{15}{5\sqrt{2}}
Divide both sides by 5\sqrt{2}.
x=-\frac{15}{5\sqrt{2}}
Dividing by 5\sqrt{2} undoes the multiplication by 5\sqrt{2}.
x=-\frac{3\sqrt{2}}{2}
Divide -15 by 5\sqrt{2}.
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