Trigonometry Examples

$6 k - 3 z = 12$

Step 1

Add $3 z$ to both sides of the equation.

$6 k = 12 + 3 z$

Step 2

Divide each term in $6 k = 12 + 3 z$ by $6$ and simplify.

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Step 2.1

Divide each term in $6 k = 12 + 3 z$ by $6$ .

$\frac{6 k}{6} = \frac{12}{6} + \frac{3 z}{6}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $6$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{6 k}{6} = \frac{12}{6} + \frac{3 z}{6}$

Step 2.2.1.2

Divide $k$ by $1$ .

$k = \frac{12}{6} + \frac{3 z}{6}$

$k = \frac{12}{6} + \frac{3 z}{6}$

$k = \frac{12}{6} + \frac{3 z}{6}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Divide $12$ by $6$ .

$k = 2 + \frac{3 z}{6}$

Step 2.3.1.2

Cancel the common factor of $3$ and $6$ .

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Step 2.3.1.2.1

Factor $3$ out of $3 z$ .

$k = 2 + \frac{3 (z)}{6}$

Step 2.3.1.2.2

Cancel the common factors.

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Step 2.3.1.2.2.1

Factor $3$ out of $6$ .

$k = 2 + \frac{3 z}{3 \cdot 2}$

Step 2.3.1.2.2.2

Cancel the common factor.

$k = 2 + \frac{3 z}{3 \cdot 2}$

Step 2.3.1.2.2.3

Rewrite the expression.

$k = 2 + \frac{z}{2}$

$k = 2 + \frac{z}{2}$

$k = 2 + \frac{z}{2}$

$k = 2 + \frac{z}{2}$

$k = 2 + \frac{z}{2}$

$k = 2 + \frac{z}{2}$

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