Trigonometry Examples

$4 y = 12 x - 3$

Step 1

Divide each term in $4 y = 12 x - 3$ by $4$ .

$\frac{4 y}{4} = \frac{12 x}{4} + \frac{- 3}{4}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $4$ .

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Step 2.1.1

Cancel the common factor.

$\frac{4 y}{4} = \frac{12 x}{4} + \frac{- 3}{4}$

Step 2.1.2

Divide $y$ by $1$ .

$y = \frac{12 x}{4} + \frac{- 3}{4}$

$y = \frac{12 x}{4} + \frac{- 3}{4}$

$y = \frac{12 x}{4} + \frac{- 3}{4}$

Step 3

Simplify the right side.

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Step 3.1

Simplify each term.

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Step 3.1.1

Cancel the common factor of $12$ and $4$ .

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Step 3.1.1.1

Factor $4$ out of $12 x$ .

$y = \frac{4 (3 x)}{4} + \frac{- 3}{4}$

Step 3.1.1.2

Cancel the common factors.

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Step 3.1.1.2.1

Factor $4$ out of $4$ .

$y = \frac{4 (3 x)}{4 (1)} + \frac{- 3}{4}$

Step 3.1.1.2.2

Cancel the common factor.

$y = \frac{4 (3 x)}{4 \cdot 1} + \frac{- 3}{4}$

Step 3.1.1.2.3

Rewrite the expression.

$y = \frac{3 x}{1} + \frac{- 3}{4}$

Step 3.1.1.2.4

Divide $3 x$ by $1$ .

$y = 3 x + \frac{- 3}{4}$

$y = 3 x + \frac{- 3}{4}$

$y = 3 x + \frac{- 3}{4}$

Step 3.1.2

Move the negative in front of the fraction.

$y = 3 x - \frac{3}{4}$

$y = 3 x - \frac{3}{4}$

$y = 3 x - \frac{3}{4}$

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