Solve for x
x=\frac{7\sqrt{5}}{60}\approx 0.260874597
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4x\sqrt{45}=7
Subtract 7 from 52 to get 45.
4x\times 3\sqrt{5}=7
Factor 45=3^{2}\times 5. Rewrite the square root of the product \sqrt{3^{2}\times 5} as the product of square roots \sqrt{3^{2}}\sqrt{5}. Take the square root of 3^{2}.
12x\sqrt{5}=7
Multiply 4 and 3 to get 12.
12\sqrt{5}x=7
The equation is in standard form.
\frac{12\sqrt{5}x}{12\sqrt{5}}=\frac{7}{12\sqrt{5}}
Divide both sides by 12\sqrt{5}.
x=\frac{7}{12\sqrt{5}}
Dividing by 12\sqrt{5} undoes the multiplication by 12\sqrt{5}.
x=\frac{7\sqrt{5}}{60}
Divide 7 by 12\sqrt{5}.
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