Solve HHv=(6125*0.0022)(0.999)(87-68)+8.747/0.237+1.16

$$H H v = \frac { ( 6125 \cdot 0.0022 ) ( 0.999 ) ( 87 - 68 ) + 8.747 } { 0.237 } + 1.16$$

Solve for v

$$v=\frac{52958179}{47400H^{2}}$$

$$H\neq 0$$

Steps for Solving Linear Equation

Multiply H and H to get H^{2}.

$$H^{2}v=\frac{6125\times 0.0022\times 0.999\left(87-68\right)+8.747}{0.237}+1.16$$

Multiply 6125 and 0.0022 to get 13.475.

$$H^{2}v=\frac{13.475\times 0.999\left(87-68\right)+8.747}{0.237}+1.16$$

Multiply 13.475 and 0.999 to get 13.461525.

$$H^{2}v=\frac{13.461525\left(87-68\right)+8.747}{0.237}+1.16$$

Subtract 68 from 87 to get 19.

$$H^{2}v=\frac{13.461525\times 19+8.747}{0.237}+1.16$$

Multiply 13.461525 and 19 to get 255.768975.

$$H^{2}v=\frac{255.768975+8.747}{0.237}+1.16$$

Add 255.768975 and 8.747 to get 264.515975.

$$H^{2}v=\frac{264.515975}{0.237}+1.16$$

Expand \frac{264.515975}{0.237} by multiplying both numerator and the denominator by 1000000.

$$H^{2}v=\frac{264515975}{237000}+1.16$$

Reduce the fraction \frac{264515975}{237000} to lowest terms by extracting and canceling out 25.

$$H^{2}v=\frac{10580639}{9480}+1.16$$

Add \frac{10580639}{9480} and 1.16 to get \frac{52958179}{47400}.

$$H^{2}v=\frac{52958179}{47400}$$

Divide both sides by H^{2}.

$$\frac{H^{2}v}{H^{2}}=\frac{\frac{52958179}{47400}}{H^{2}}$$

Dividing by H^{2} undoes the multiplication by H^{2}.

$$v=\frac{\frac{52958179}{47400}}{H^{2}}$$

Divide \frac{52958179}{47400} by H^{2}.

$$v=\frac{52958179}{47400H^{2}}$$

Solve for H

$$H=\frac{\sqrt{\frac{25102176846}{v}}}{4740}$$

$$H=-\frac{\sqrt{\frac{25102176846}{v}}}{4740}\text{, }v>0$$