Algebra Examples

$2 (v - 3) - 5 v = - 3 (v + 3)$

Step 1

Add $3 (v + 3)$ to both sides of the equation.

$2 (v - 3) - 5 v + 3 (v + 3) = 0$

Step 2

Simplify $2 (v - 3) - 5 v + 3 (v + 3)$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$2 v + 2 \cdot - 3 - 5 v + 3 (v + 3) = 0$

Step 2.1.2

Multiply $2$ by $- 3$ .

$2 v - 6 - 5 v + 3 (v + 3) = 0$

Step 2.1.3

Apply the distributive property.

$2 v - 6 - 5 v + 3 v + 3 \cdot 3 = 0$

Step 2.1.4

Multiply $3$ by $3$ .

$2 v - 6 - 5 v + 3 v + 9 = 0$

$2 v - 6 - 5 v + 3 v + 9 = 0$

Step 2.2

Subtract $5 v$ from $2 v$ .

$- 3 v - 6 + 3 v + 9 = 0$

Step 2.3

Combine the opposite terms in $- 3 v - 6 + 3 v + 9$ .

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Step 2.3.1

Add $- 3 v$ and $3 v$ .

$0 - 6 + 9 = 0$

Step 2.3.2

Subtract $6$ from $0$ .

$- 6 + 9 = 0$

$- 6 + 9 = 0$

Step 2.4

Add $- 6$ and $9$ .

$3 = 0$

$3 = 0$

Step 3

Since $3 \neq 0$ , there are no solutions.

No solution

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