Basic Math Examples

$- 5 k^{2} + 10 k = 0$

Step 1

Factor

$- 5 k$ out of

$- 5 k^{2} + 10 k$ .

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Step 1.1

Factor

$- 5 k$ out of

$- 5 k^{2}$ .

$- 5 k \cdot k + 10 k = 0$

Step 1.2

Factor

$- 5 k$ out of

$10 k$ .

$- 5 k \cdot k - 5 k \cdot - 2 = 0$

Step 1.3

Factor

$- 5 k$ out of

$- 5 k (k) - 5 k (- 2)$ .

$- 5 k (k - 2) = 0$

Step 2

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

$0$ , the entire expression will be equal to

$0$ .

$k = 0$

$k - 2 = 0$

Step 3

Set

$k$ equal to

$0$ .

$k = 0$

Step 4

Set

$k - 2$ equal to

$0$ and solve for

$k$ .

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Step 4.1

Set

$k - 2$ equal to

$0$ .

$k - 2 = 0$

Step 4.2

Add

$2$ to both sides of the equation.

$k = 2$

Step 5

The final solution is all the values that make

$- 5 k (k - 2) = 0$ true.

$k = 0, 2$