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

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

Resolver v

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

$$H\neq 0$$

Pasos para resolver unha ecuación lineal

Multiplica H e H para obter H^{2}.

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

Multiplica 6125 e 0.0022 para obter 13.475.

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

Multiplica 13.475 e 0.999 para obter 13.461525.

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

Resta 68 de 87 para obter 19.

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

Multiplica 13.461525 e 19 para obter 255.768975.

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

Suma 255.768975 e 8.747 para obter 264.515975.

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

Expande \frac{264.515975}{0.237} multiplicando o numerador e o denominador por 1000000.

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

Reduce a fracción \frac{264515975}{237000} a termos máis baixos extraendo e cancelando 25.

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

Suma \frac{10580639}{9480} e 1.16 para obter \frac{52958179}{47400}.

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

Divide ambos lados entre H^{2}.

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

A división entre H^{2} desfai a multiplicación por H^{2}.

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

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

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

Resolver H (complex solution)

$$H=-\frac{\sqrt{25102176846}v^{-0.5}}{4740}$$

$$H=\frac{\sqrt{25102176846}v^{-0.5}}{4740}\text{, }v\neq 0$$

Resolver H

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

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