Solve for x
x=-3\sqrt{2}\approx -4.242640687
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\left(-5\sqrt{2}\right)x=30
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}.
\frac{\left(-5\sqrt{2}\right)x}{-5\sqrt{2}}=\frac{30}{-5\sqrt{2}}
Divide both sides by -5\sqrt{2}.
x=\frac{30}{-5\sqrt{2}}
Dividing by -5\sqrt{2} undoes the multiplication by -5\sqrt{2}.
x=-3\sqrt{2}
Divide 30 by -5\sqrt{2}.
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