Trigonometry Examples

$3 (2 + u) - u = 4 + 2 (u + 1)$

Step 1

Simplify $3 (2 + u) - u$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$3 \cdot 2 + 3 u - u = 4 + 2 (u + 1)$

Step 1.1.2

Multiply $3$ by $2$ .

$6 + 3 u - u = 4 + 2 (u + 1)$

Step 1.2

Subtract $u$ from $3 u$ .

$6 + 2 u = 4 + 2 (u + 1)$

Step 2

Simplify $4 + 2 (u + 1)$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$6 + 2 u = 4 + 2 u + 2 \cdot 1$

Step 2.1.2

Multiply $2$ by $1$ .

$6 + 2 u = 4 + 2 u + 2$

Step 2.2

Add $4$ and $2$ .

$6 + 2 u = 2 u + 6$

Step 3

Move all terms containing $u$ to the left side of the equation.

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Step 3.1

Subtract $2 u$ from both sides of the equation.

$6 + 2 u - 2 u = 6$

Step 3.2

Combine the opposite terms in $6 + 2 u - 2 u$ .

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Step 3.2.1

Subtract $2 u$ from $2 u$ .

$6 + 0 = 6$

Step 3.2.2

Add $6$ and $0$ .

$6 = 6$

Step 4

Since $6 = 6$ , the equation will always be true for any value of $u$ .

All real numbers

Step 5

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$