Basic Math Examples

$12 (y + \frac{1}{4}) + 2 y = 0$

Step 1

Simplify $12 (y + \frac{1}{4}) + 2 y$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$12 y + 12 (\frac{1}{4}) + 2 y = 0$

Step 1.1.2

Cancel the common factor of $4$ .

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Step 1.1.2.1

Factor $4$ out of $12$ .

$12 y + 4 (3) \frac{1}{4} + 2 y = 0$

Step 1.1.2.2

Cancel the common factor.

$12 y + 4 \cdot 3 \frac{1}{4} + 2 y = 0$

Step 1.1.2.3

Rewrite the expression.

$12 y + 3 + 2 y = 0$

$12 y + 3 + 2 y = 0$

$12 y + 3 + 2 y = 0$

Step 1.2

Add $12 y$ and $2 y$ .

$14 y + 3 = 0$

$14 y + 3 = 0$

Step 2

Subtract $3$ from both sides of the equation.

$14 y = - 3$

Step 3

Divide each term in $14 y = - 3$ by $14$ and simplify.

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Step 3.1

Divide each term in $14 y = - 3$ by $14$ .

$\frac{14 y}{14} = \frac{- 3}{14}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $14$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{14 y}{14} = \frac{- 3}{14}$

Step 3.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 3}{14}$

$y = \frac{- 3}{14}$

$y = \frac{- 3}{14}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Move the negative in front of the fraction.

$y = - \frac{3}{14}$

$y = - \frac{3}{14}$

$y = - \frac{3}{14}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{3}{14}$

Decimal Form:

$y = - 0.2\overline{142857}$

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