Algebra Examples

$(8 m - 1) (m - 4) = 0$

Step 1

If any individual factor on the left side of the equation is equal to $0$ , the entire expression will be equal to $0$ .

$8 m - 1 = 0$

$m - 4 = 0$

Step 2

Set $8 m - 1$ equal to $0$ and solve for $m$ .

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Step 2.1

Set $8 m - 1$ equal to $0$ .

$8 m - 1 = 0$

Step 2.2

Solve $8 m - 1 = 0$ for $m$ .

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Step 2.2.1

Add $1$ to both sides of the equation.

$8 m = 1$

Step 2.2.2

Divide each term in $8 m = 1$ by $8$ and simplify.

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Step 2.2.2.1

Divide each term in $8 m = 1$ by $8$ .

$\frac{8 m}{8} = \frac{1}{8}$

Step 2.2.2.2

Simplify the left side.

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Step 2.2.2.2.1

Cancel the common factor of $8$ .

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Step 2.2.2.2.1.1

Cancel the common factor.

$\frac{8 m}{8} = \frac{1}{8}$

Step 2.2.2.2.1.2

Divide $m$ by $1$ .

$m = \frac{1}{8}$

Step 3

Set $m - 4$ equal to $0$ and solve for $m$ .

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Step 3.1

Set $m - 4$ equal to $0$ .

$m - 4 = 0$

Step 3.2

Add $4$ to both sides of the equation.

$m = 4$

Step 4

The final solution is all the values that make $(8 m - 1) (m - 4) = 0$ true.

$m = \frac{1}{8}, 4$

Step 5

The result can be shown in multiple forms.

Exact Form:

$m = \frac{1}{8}, 4$

Decimal Form:

$m = 0.125, 4$