Solve frac{(35P-HI_{B})}{3}*2-H_{B}=0

$$\frac { ( 35 P - H I _ { B } ) } { 3 } \times 2 - H _ { B } = 0$$

Solve for H (complex solution)

$$\left\{\begin{matrix}H=\frac{70P-3H_{B}}{2I_{B}}\text{, }&I_{B}\neq 0\\H\in \mathrm{C}\text{, }&P=\frac{3H_{B}}{70}\text{ and }I_{B}=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$\left(35P-HI_{B}\right)\times 2-3H_{B}=0$$

Use the distributive property to multiply 35P-HI_{B} by 2.

$$70P-2HI_{B}-3H_{B}=0$$

Subtract 70P from both sides. Anything subtracted from zero gives its negation.

$$-2HI_{B}-3H_{B}=-70P$$

Add 3H_{B} to both sides.

$$-2HI_{B}=-70P+3H_{B}$$

The equation is in standard form.

$$\left(-2I_{B}\right)H=3H_{B}-70P$$

Divide both sides by -2I_{B}.

$$\frac{\left(-2I_{B}\right)H}{-2I_{B}}=\frac{3H_{B}-70P}{-2I_{B}}$$

Dividing by -2I_{B} undoes the multiplication by -2I_{B}.

$$H=\frac{3H_{B}-70P}{-2I_{B}}$$

Divide -70P+3H_{B} by -2I_{B}.

$$H=-\frac{3H_{B}-70P}{2I_{B}}$$

Solve for H

$$\left\{\begin{matrix}H=\frac{70P-3H_{B}}{2I_{B}}\text{, }&I_{B}\neq 0\\H\in \mathrm{R}\text{, }&P=\frac{3H_{B}}{70}\text{ and }I_{B}=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$\left(35P-HI_{B}\right)\times 2-3H_{B}=0$$

Use the distributive property to multiply 35P-HI_{B} by 2.

$$70P-2HI_{B}-3H_{B}=0$$

Subtract 70P from both sides. Anything subtracted from zero gives its negation.

$$-2HI_{B}-3H_{B}=-70P$$

Add 3H_{B} to both sides.

$$-2HI_{B}=-70P+3H_{B}$$

The equation is in standard form.

$$\left(-2I_{B}\right)H=3H_{B}-70P$$

Divide both sides by -2I_{B}.

$$\frac{\left(-2I_{B}\right)H}{-2I_{B}}=\frac{3H_{B}-70P}{-2I_{B}}$$

Dividing by -2I_{B} undoes the multiplication by -2I_{B}.

$$H=\frac{3H_{B}-70P}{-2I_{B}}$$

Divide -70P+3H_{B} by -2I_{B}.

$$H=-\frac{3H_{B}-70P}{2I_{B}}$$

Solve for H_B

$$H_{B}=\frac{70P-2HI_{B}}{3}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$\left(35P-HI_{B}\right)\times 2-3H_{B}=0$$

Use the distributive property to multiply 35P-HI_{B} by 2.

$$70P-2HI_{B}-3H_{B}=0$$

Subtract 70P from both sides. Anything subtracted from zero gives its negation.

$$-2HI_{B}-3H_{B}=-70P$$

Add 2HI_{B} to both sides.

$$-3H_{B}=-70P+2HI_{B}$$

The equation is in standard form.

$$-3H_{B}=2HI_{B}-70P$$

Divide both sides by -3.

$$\frac{-3H_{B}}{-3}=\frac{2HI_{B}-70P}{-3}$$

Dividing by -3 undoes the multiplication by -3.

$$H_{B}=\frac{2HI_{B}-70P}{-3}$$

Divide -70P+2HI_{B} by -3.

$$H_{B}=\frac{70P-2HI_{B}}{3}$$