Basic Math Examples

6 z (z - 2) = 0

$6 z (z - 2) = 0$

Step 1

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

0

$0$ , the entire expression will be equal to

0

$0$ .

z = 0

$z = 0$

z - 2 = 0

$z - 2 = 0$

Step 2

Set

z

$z$ equal to

0

$0$ .

z = 0

$z = 0$

Step 3

Set

z - 2

$z - 2$ equal to

0

$0$ and solve for

z

$z$ .

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Step 3.1

Set

z - 2

$z - 2$ equal to

0

$0$ .

z - 2 = 0

$z - 2 = 0$

Step 3.2

Add

2

$2$ to both sides of the equation.

z = 2

$z = 2$

z = 2

$z = 2$

Step 4

The final solution is all the values that make

6 z (z - 2) = 0

$6 z (z - 2) = 0$ true.

z = 0, 2

$z = 0, 2$