Basic Math Examples

$0 = 2 y^{2} - 18 y$

Step 1

Rewrite the equation as $2 y^{2} - 18 y = 0$ .

$2 y^{2} - 18 y = 0$

Step 2

Factor $2 y$ out of $2 y^{2} - 18 y$ .

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Step 2.1

Factor $2 y$ out of $2 y^{2}$ .

$2 y (y) - 18 y = 0$

Step 2.2

Factor $2 y$ out of $- 18 y$ .

$2 y (y) + 2 y (- 9) = 0$

Step 2.3

Factor $2 y$ out of $2 y (y) + 2 y (- 9)$ .

$2 y (y - 9) = 0$

Step 3

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

$y = 0$

$y - 9 = 0$

Step 4

Set $y$ equal to $0$ .

$y = 0$

Step 5

Set $y - 9$ equal to $0$ and solve for $y$ .

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Step 5.1

Set $y - 9$ equal to $0$ .

$y - 9 = 0$

Step 5.2

Add $9$ to both sides of the equation.

$y = 9$

Step 6

The final solution is all the values that make $2 y (y - 9) = 0$ true.

$y = 0, 9$