Solve 012aT004(20-a)=20*009

$$012 a T 004 ( 20 - a ) = 20 \times 009$$

Solve for T_0 (complex solution)

$$T_{0}\in \mathrm{C}$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\text{true}$$

This is true for any T_{0}.

$$T_{0}\in \mathrm{R}$$

Solve for a (complex solution)

$$a\in \mathrm{C}$$

Solution Steps

Multiply 0 and 12 to get 0.

$$0aT_{0}\times 0\times 4\left(20-a\right)=20\times 0\times 0\times 9$$

Multiply 0 and 0 to get 0.

$$0aT_{0}\times 4\left(20-a\right)=20\times 0\times 0\times 9$$

Multiply 0 and 4 to get 0.

$$0aT_{0}\left(20-a\right)=20\times 0\times 0\times 9$$

Anything times zero gives zero.

$$0=20\times 0\times 0\times 9$$

Multiply 20 and 0 to get 0.

$$0=0\times 0\times 9$$

Multiply 0 and 0 to get 0.

$$0=0\times 9$$

Multiply 0 and 9 to get 0.

$$0=0$$

Compare 0 and 0.

$$\text{true}$$

This is true for any a.

$$a\in \mathrm{C}$$

Solve for T_0

$$T_{0}\in \mathrm{R}$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\text{true}$$

This is true for any T_{0}.

$$T_{0}\in \mathrm{R}$$

Solve for a

$$a\in \mathrm{R}$$

Solution Steps

Multiply 0 and 12 to get 0.

$$0aT_{0}\times 0\times 4\left(20-a\right)=20\times 0\times 0\times 9$$

Multiply 0 and 0 to get 0.

$$0aT_{0}\times 4\left(20-a\right)=20\times 0\times 0\times 9$$

Multiply 0 and 4 to get 0.

$$0aT_{0}\left(20-a\right)=20\times 0\times 0\times 9$$

Anything times zero gives zero.

$$0=20\times 0\times 0\times 9$$

Multiply 20 and 0 to get 0.

$$0=0\times 0\times 9$$

Multiply 0 and 0 to get 0.

$$0=0\times 9$$

Multiply 0 and 9 to get 0.

$$0=0$$

Compare 0 and 0.

$$\text{true}$$

This is true for any a.

$$a\in \mathrm{R}$$