Basic Math Examples

$q^{2} = 9 q$

Step 1

Subtract $9 q$ from both sides of the equation.

$q^{2} - 9 q = 0$

Step 2

Factor $q$ out of $q^{2} - 9 q$ .

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Step 2.1

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

$q \cdot q - 9 q = 0$

Step 2.2

Factor $q$ out of $- 9 q$ .

$q \cdot q + q \cdot - 9 = 0$

Step 2.3

Factor $q$ out of $q \cdot q + q \cdot - 9$ .

$q (q - 9) = 0$

Step 3

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

$q = 0$

$q - 9 = 0$

Step 4

Set $q$ equal to $0$ .

$q = 0$

Step 5

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

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Step 5.1

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

$q - 9 = 0$

Step 5.2

Add $9$ to both sides of the equation.

$q = 9$

Step 6

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

$q = 0, 9$