Basic Math Examples

$2 d^{2} - 8 d = 0$

Step 1

Factor

$2 d$ out of

$2 d^{2} - 8 d$ .

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Step 1.1

Factor

$2 d$ out of

$2 d^{2}$ .

$2 d (d) - 8 d = 0$

Step 1.2

Factor

$2 d$ out of

$- 8 d$ .

$2 d (d) + 2 d (- 4) = 0$

Step 1.3

Factor

$2 d$ out of

$2 d (d) + 2 d (- 4)$ .

$2 d (d - 4) = 0$

Step 2

If any individual factor on the left side of the equation is equal to

$0$ , the entire expression will be equal to

$0$ .

$d = 0$

$d - 4 = 0$

Step 3

Set

$d$ equal to

$0$ .

$d = 0$

Step 4

Set

$d - 4$ equal to

$0$ and solve for

$d$ .

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Step 4.1

Set

$d - 4$ equal to

$0$ .

$d - 4 = 0$

Step 4.2

Add

$4$ to both sides of the equation.

$d = 4$

Step 5

The final solution is all the values that make

$2 d (d - 4) = 0$ true.

$d = 0, 4$