Calculus Examples

$6 x^{2} + 6 x = 0$

Step 1

Factor $6 x$ out of $6 x^{2} + 6 x$ .

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Step 1.1

Factor $6 x$ out of $6 x^{2}$ .

$6 x (x) + 6 x = 0$

Step 1.2

Factor $6 x$ out of $6 x$ .

$6 x (x) + 6 x (1) = 0$

Step 1.3

Factor $6 x$ out of $6 x (x) + 6 x (1)$ .

$6 x (x + 1) = 0$

Step 2

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

$x = 0$

$x + 1 = 0$

Step 3

Set $x$ equal to $0$ .

$x = 0$

Step 4

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

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Step 4.1

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

$x + 1 = 0$

Step 4.2

Subtract $1$ from both sides of the equation.

$x = - 1$

Step 5

The final solution is all the values that make $6 x (x + 1) = 0$ true.

$x = 0, - 1$

Step 6