Basic Math Examples

- 3 (d - 2) = 2 (3 - 2 d)

$- 3 (d - 2) = 2 (3 - 2 d)$

Step 1

Simplify

- 3 (d - 2)

$- 3 (d - 2)$ .

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Step 1.1

Rewrite.

0 + 0 - 3 (d - 2) = 2 (3 - 2 d)

$0 + 0 - 3 (d - 2) = 2 (3 - 2 d)$

Step 1.2

Simplify by adding zeros.

- 3 (d - 2) = 2 (3 - 2 d)

$- 3 (d - 2) = 2 (3 - 2 d)$

Step 1.3

Apply the distributive property.

- 3 d - 3 \cdot - 2 = 2 (3 - 2 d)

$- 3 d - 3 \cdot - 2 = 2 (3 - 2 d)$

Step 1.4

Multiply

- 3

$- 3$ by

- 2

$- 2$ .

- 3 d + 6 = 2 (3 - 2 d)

$- 3 d + 6 = 2 (3 - 2 d)$

- 3 d + 6 = 2 (3 - 2 d)

$- 3 d + 6 = 2 (3 - 2 d)$

Step 2

Simplify

2 (3 - 2 d)

$2 (3 - 2 d)$ .

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Step 2.1

Apply the distributive property.

- 3 d + 6 = 2 \cdot 3 + 2 (- 2 d)

$- 3 d + 6 = 2 \cdot 3 + 2 (- 2 d)$

Step 2.2

Multiply.

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Step 2.2.1

Multiply

2

$2$ by

3

$3$ .

- 3 d + 6 = 6 + 2 (- 2 d)

$- 3 d + 6 = 6 + 2 (- 2 d)$

Step 2.2.2

Multiply

- 2

$- 2$ by

2

$2$ .

- 3 d + 6 = 6 - 4 d

$- 3 d + 6 = 6 - 4 d$

- 3 d + 6 = 6 - 4 d

$- 3 d + 6 = 6 - 4 d$

- 3 d + 6 = 6 - 4 d

$- 3 d + 6 = 6 - 4 d$

Step 3

Move all terms containing

d

$d$ to the left side of the equation.

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Step 3.1

Add

4 d

$4 d$ to both sides of the equation.

- 3 d + 6 + 4 d = 6

$- 3 d + 6 + 4 d = 6$

Step 3.2

Add

- 3 d

$- 3 d$ and

4 d

$4 d$ .

d + 6 = 6

$d + 6 = 6$

d + 6 = 6

$d + 6 = 6$

Step 4

Move all terms not containing

d

$d$ to the right side of the equation.

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Step 4.1

Subtract

6

$6$ from both sides of the equation.

d = 6 - 6

$d = 6 - 6$

Step 4.2

Subtract

6

$6$ from

6

$6$ .

d = 0

$d = 0$

d = 0

$d = 0$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$