Solve 2A + B = A + (A + B) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$2A+B=A+(A+B)$$

Solve for A (complex solution)

$A\in \mathrm{C}$

Solution Steps

Combine $A$ and $A$ to get $2A$.

$$2A+B=2A+B$$

Subtract $2A$ from both sides.

$$2A+B-2A=B$$

Combine $2A$ and $-2A$ to get $0$.

$$B=B$$

Reorder the terms.

$$\text{true}$$

This is true for any $A$.

$$A\in \mathrm{C}$$

Solve for B (complex solution)

$B\in \mathrm{C}$

Solution Steps

Combine $A$ and $A$ to get $2A$.

$$2A+B=2A+B$$

Subtract $B$ from both sides.

$$2A+B-B=2A$$

Combine $B$ and $-B$ to get $0$.

$$2A=2A$$

Cancel out $2$ on both sides.

$$A=A$$

Reorder the terms.

$$\text{true}$$

This is true for any $B$.

$$B\in \mathrm{C}$$

Solve for A

$A\in \mathrm{R}$

Solution Steps

Combine $A$ and $A$ to get $2A$.

$$2A+B=2A+B$$

Subtract $2A$ from both sides.

$$2A+B-2A=B$$

Combine $2A$ and $-2A$ to get $0$.

$$B=B$$

Reorder the terms.

$$\text{true}$$

This is true for any $A$.

$$A\in \mathrm{R}$$

Solve for B

$B\in \mathrm{R}$

Solution Steps

Combine $A$ and $A$ to get $2A$.

$$2A+B=2A+B$$

Subtract $B$ from both sides.

$$2A+B-B=2A$$

Combine $B$ and $-B$ to get $0$.

$$2A=2A$$

Cancel out $2$ on both sides.

$$A=A$$

Reorder the terms.

$$\text{true}$$

This is true for any $B$.

$$B\in \mathrm{R}$$