Basic Math Examples

$9 a^{2} + 9 a - 9 = - 9$

Step 1

Add $9$ to both sides of the equation.

$9 a^{2} + 9 a - 9 + 9 = 0$

Step 2

Combine the opposite terms in $9 a^{2} + 9 a - 9 + 9$ .

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Step 2.1

Add $- 9$ and $9$ .

$9 a^{2} + 9 a + 0 = 0$

Step 2.2

Add $9 a^{2} + 9 a$ and $0$ .

$9 a^{2} + 9 a = 0$

Step 3

Factor $9 a$ out of $9 a^{2} + 9 a$ .

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Step 3.1

Factor $9 a$ out of $9 a^{2}$ .

$9 a (a) + 9 a = 0$

Step 3.2

Factor $9 a$ out of $9 a$ .

$9 a (a) + 9 a (1) = 0$

Step 3.3

Factor $9 a$ out of $9 a (a) + 9 a (1)$ .

$9 a (a + 1) = 0$

Step 4

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

$a = 0$

$a + 1 = 0$

Step 5

Set $a$ equal to $0$ .

$a = 0$

Step 6

Set $a + 1$ equal to $0$ and solve for $a$ .

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Step 6.1

Set $a + 1$ equal to $0$ .

$a + 1 = 0$

Step 6.2

Subtract $1$ from both sides of the equation.

$a = - 1$

Step 7

The final solution is all the values that make $9 a (a + 1) = 0$ true.

$a = 0, - 1$