Solve 592*6y^2=1.06856*10^-3*624*10^9s

$$592 \cdot 6 y ^ { 2 } = 1.06856 \times 10 ^ { - 3 } \cdot 624 \times 10 ^ { 9 } s$$

Solve for s

$$s=\frac{y^{2}}{187720}$$

Steps for Solving Linear Equation

To multiply powers of the same base, add their exponents. Add -3 and 9 to get 6.

$$592\times 6y^{2}=1.06856\times 10^{6}\times 624s$$

Multiply 592 and 6 to get 3552.

$$3552y^{2}=1.06856\times 10^{6}\times 624s$$

Calculate 10 to the power of 6 and get 1000000.

$$3552y^{2}=1.06856\times 1000000\times 624s$$

Multiply 1.06856 and 1000000 to get 1068560.

$$3552y^{2}=1068560\times 624s$$

Multiply 1068560 and 624 to get 666781440.

$$3552y^{2}=666781440s$$

Swap sides so that all variable terms are on the left hand side.

$$666781440s=3552y^{2}$$

Divide both sides by 666781440.

$$\frac{666781440s}{666781440}=\frac{3552y^{2}}{666781440}$$

Dividing by 666781440 undoes the multiplication by 666781440.

$$s=\frac{3552y^{2}}{666781440}$$

Divide 3552y^{2} by 666781440.

$$s=\frac{y^{2}}{187720}$$

Solve for y (complex solution)

$$y=-38\sqrt{130s}$$

$$y=38\sqrt{130s}$$

Solve for y

$$y=38\sqrt{130s}$$

$$y=-38\sqrt{130s}\text{, }s\geq 0$$