Algebra Examples

$x (x - 3) (x + 6) (x - 7) = 0$

Step 1

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

$x = 0$

$x - 3 = 0$

$x + 6 = 0$

$x - 7 = 0$

Step 2

Set $x$ equal to $0$ .

$x = 0$

Step 3

Set $x - 3$ equal to $0$ and solve for $x$ .

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Step 3.1

Set $x - 3$ equal to $0$ .

$x - 3 = 0$

Step 3.2

Add $3$ to both sides of the equation.

$x = 3$

Step 4

Set $x + 6$ equal to $0$ and solve for $x$ .

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Step 4.1

Set $x + 6$ equal to $0$ .

$x + 6 = 0$

Step 4.2

Subtract $6$ from both sides of the equation.

$x = - 6$

Step 5

Set $x - 7$ equal to $0$ and solve for $x$ .

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Step 5.1

Set $x - 7$ equal to $0$ .

$x - 7 = 0$

Step 5.2

Add $7$ to both sides of the equation.

$x = 7$

Step 6

The final solution is all the values that make $x (x - 3) (x + 6) (x - 7) = 0$ true.

$x = 0, 3, - 6, 7$

Step 7