Basic Math Examples

$b^{2} - 7 b = 0$

Step 1

Factor $b$ out of $b^{2} - 7 b$ .

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Step 1.1

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

$b \cdot b - 7 b = 0$

Step 1.2

Factor $b$ out of $- 7 b$ .

$b \cdot b + b \cdot - 7 = 0$

Step 1.3

Factor $b$ out of $b \cdot b + b \cdot - 7$ .

$b (b - 7) = 0$

Step 2

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

$b = 0$

$b - 7 = 0$

Step 3

Set $b$ equal to $0$ .

$b = 0$

Step 4

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

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Step 4.1

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

$b - 7 = 0$

Step 4.2

Add $7$ to both sides of the equation.

$b = 7$

Step 5

The final solution is all the values that make $b (b - 7) = 0$ true.

$b = 0, 7$