Solve for A (complex solution)

\left\{\begin{matrix}\\A=0\text{, }&\text{unconditionally}\\A\in \mathrm{C}\text{, }&D=0\text{ or }C=0\text{ or }B=0\end{matrix}\right.

Solve for B (complex solution)

\left\{\begin{matrix}\\B=0\text{, }&\text{unconditionally}\\B\in \mathrm{C}\text{, }&D=0\text{ or }C=0\text{ or }A=0\end{matrix}\right.

Solve for A

\left\{\begin{matrix}\\A=0\text{, }&\text{unconditionally}\\A\in \mathrm{R}\text{, }&D=0\text{ or }C=0\text{ or }B=0\end{matrix}\right.

Solve for B

\left\{\begin{matrix}\\B=0\text{, }&\text{unconditionally}\\B\in \mathrm{R}\text{, }&D=0\text{ or }C=0\text{ or }A=0\end{matrix}\right.

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ABCD\times 4-DCBA=0

Subtract DCBA from both sides.

3ABCD=0

Combine ABCD\times 4 and -DCBA to get 3ABCD.

3BCDA=0

The equation is in standard form.

A=0

Divide 0 by 3BCD.

ABCD\times 4-DCBA=0

Subtract DCBA from both sides.

3ABCD=0

Combine ABCD\times 4 and -DCBA to get 3ABCD.

3ACDB=0

The equation is in standard form.

B=0

Divide 0 by 3ACD.

ABCD\times 4-DCBA=0

Subtract DCBA from both sides.

3ABCD=0

Combine ABCD\times 4 and -DCBA to get 3ABCD.

3BCDA=0

The equation is in standard form.

A=0

Divide 0 by 3BCD.

ABCD\times 4-DCBA=0

Subtract DCBA from both sides.

3ABCD=0

Combine ABCD\times 4 and -DCBA to get 3ABCD.

3ACDB=0

The equation is in standard form.

B=0

Divide 0 by 3ACD.

## Examples

Quadratic equation

{ x } ^ { 2 } - 4 x - 5 = 0

Trigonometry

4 \sin \theta \cos \theta = 2 \sin \theta

Linear equation

y = 3x + 4

Arithmetic

699 * 533

Matrix

\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]

Simultaneous equation

\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.

Differentiation

\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }

Integration

\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x

Limits

\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}