Algebra Examples

$4 m + 2 = 4 (\frac{1}{2} m - \frac{1}{4})$

Step 1

Simplify $4 (\frac{1}{2} m - \frac{1}{4})$ .

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Step 1.1

Rewrite.

$4 m + 2 = 0 + 0 + 4 (\frac{1}{2} m - \frac{1}{4})$

Step 1.2

Simplify by adding zeros.

$4 m + 2 = 4 (\frac{1}{2} m - \frac{1}{4})$

Step 1.3

Combine $\frac{1}{2}$ and $m$ .

$4 m + 2 = 4 (\frac{m}{2} - \frac{1}{4})$

Step 1.4

Apply the distributive property.

$4 m + 2 = 4 \frac{m}{2} + 4 (- \frac{1}{4})$

Step 1.5

Cancel the common factor of $2$ .

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Step 1.5.1

Factor $2$ out of $4$ .

$4 m + 2 = 2 (2) \frac{m}{2} + 4 (- \frac{1}{4})$

Step 1.5.2

Cancel the common factor.

$4 m + 2 = 2 \cdot 2 \frac{m}{2} + 4 (- \frac{1}{4})$

Step 1.5.3

Rewrite the expression.

$4 m + 2 = 2 m + 4 (- \frac{1}{4})$

Step 1.6

Cancel the common factor of $4$ .

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Step 1.6.1

Move the leading negative in $- \frac{1}{4}$ into the numerator.

$4 m + 2 = 2 m + 4 (\frac{- 1}{4})$

Step 1.6.2

Cancel the common factor.

$4 m + 2 = 2 m + 4 (\frac{- 1}{4})$

Step 1.6.3

Rewrite the expression.

$4 m + 2 = 2 m - 1$

Step 2

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

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Step 2.1

Subtract $2 m$ from both sides of the equation.

$4 m + 2 - 2 m = - 1$

Step 2.2

Subtract $2 m$ from $4 m$ .

$2 m + 2 = - 1$

Step 3

Move all terms not containing $m$ to the right side of the equation.

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Step 3.1

Subtract $2$ from both sides of the equation.

$2 m = - 1 - 2$

Step 3.2

Subtract $2$ from $- 1$ .

$2 m = - 3$

Step 4

Divide each term in $2 m = - 3$ by $2$ and simplify.

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Step 4.1

Divide each term in $2 m = - 3$ by $2$ .

$\frac{2 m}{2} = \frac{- 3}{2}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $2$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{2 m}{2} = \frac{- 3}{2}$

Step 4.2.1.2

Divide $m$ by $1$ .

$m = \frac{- 3}{2}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Move the negative in front of the fraction.

$m = - \frac{3}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$m = - \frac{3}{2}$

Decimal Form:

$m = - 1.5$

Mixed Number Form:

$m = - 1 \frac{1}{2}$