Trigonometry Examples

$4 (a) - (a + 5) + 8 = 0$

Step 1

Simplify $4 a - (a + 5) + 8$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$4 a - a - 1 \cdot 5 + 8 = 0$

Step 1.1.2

Multiply $- 1$ by $5$ .

$4 a - a - 5 + 8 = 0$

$4 a - a - 5 + 8 = 0$

Step 1.2

Simplify by adding terms.

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Step 1.2.1

Subtract $a$ from $4 a$ .

$3 a - 5 + 8 = 0$

Step 1.2.2

Add $- 5$ and $8$ .

$3 a + 3 = 0$

$3 a + 3 = 0$

$3 a + 3 = 0$

Step 2

Subtract $3$ from both sides of the equation.

$3 a = - 3$

Step 3

Divide each term in $3 a = - 3$ by $3$ and simplify.

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Step 3.1

Divide each term in $3 a = - 3$ by $3$ .

$\frac{3 a}{3} = \frac{- 3}{3}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $3$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{3 a}{3} = \frac{- 3}{3}$

Step 3.2.1.2

Divide $a$ by $1$ .

$a = \frac{- 3}{3}$

$a = \frac{- 3}{3}$

$a = \frac{- 3}{3}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $- 3$ by $3$ .

$a = - 1$

$a = - 1$

$a = - 1$

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