Solve x=frac{-4sqrt{5^24*3*5}}{2*2}

$$x= \frac{ -4 \sqrt{ { 5 }^{ 2 } 4 \times 3 \times 5 } }{ 2 \times 2 }$$

Solve for x

$$x=-10\sqrt{15}\approx -38.729833462$$

Steps for Solving Linear Equation

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$x=\frac{-4\sqrt{5^{3}\times 4\times 3}}{2\times 2}$$

Cancel out 2\times 2 in both numerator and denominator.

$$x=-\sqrt{3\times 4\times 5^{3}}$$

Multiply 3 and 4 to get 12.

$$x=-\sqrt{12\times 5^{3}}$$

Calculate 5 to the power of 3 and get 125.

$$x=-\sqrt{12\times 125}$$

Multiply 12 and 125 to get 1500.

$$x=-\sqrt{1500}$$

Factor 1500=10^{2}\times 15. Rewrite the square root of the product \sqrt{10^{2}\times 15} as the product of square roots \sqrt{10^{2}}\sqrt{15}. Take the square root of 10^{2}.

$$x=-10\sqrt{15}$$

Assign x

$$x≔-10\sqrt{15}$$