Trigonometry Examples

$- 8 u - 8 = 2 (- 4 u - 4)$

Step 1

Simplify $2 (- 4 u - 4)$ .

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Step 1.1

Rewrite.

$- 8 u - 8 = 0 + 0 + 2 (- 4 u - 4)$

Step 1.2

Simplify by adding zeros.

$- 8 u - 8 = 2 (- 4 u - 4)$

Step 1.3

Apply the distributive property.

$- 8 u - 8 = 2 (- 4 u) + 2 \cdot - 4$

Step 1.4

Multiply.

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Step 1.4.1

Multiply $- 4$ by $2$ .

$- 8 u - 8 = - 8 u + 2 \cdot - 4$

Step 1.4.2

Multiply $2$ by $- 4$ .

$- 8 u - 8 = - 8 u - 8$

Step 2

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

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Step 2.1

Add $8 u$ to both sides of the equation.

$- 8 u - 8 + 8 u = - 8$

Step 2.2

Combine the opposite terms in $- 8 u - 8 + 8 u$ .

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Step 2.2.1

Add $- 8 u$ and $8 u$ .

$0 - 8 = - 8$

Step 2.2.2

Subtract $8$ from $0$ .

$- 8 = - 8$

Step 3

Since $- 8 = - 8$ , the equation will always be true for any value of $u$ .

All real numbers

Step 4

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$