Basic Math Examples

5 b (9 b - 5) = 0

$5 b (9 b - 5) = 0$

Step 1

If any individual factor on the left side of the equation is equal to

$0$ , the entire expression will be equal to

$0$ .

$b = 0$

$9 b - 5 = 0$

Step 2

Set

$b$ equal to

$0$ .

$b = 0$

Step 3

Set

$9 b - 5$ equal to

$0$ and solve for

$b$ .

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Step 3.1

Set

$9 b - 5$ equal to

$0$ .

$9 b - 5 = 0$

Step 3.2

Solve

$9 b - 5 = 0$ for

$b$ .

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Step 3.2.1

Add

$5$ to both sides of the equation.

$9 b = 5$

Step 3.2.2

Divide each term in

$9 b = 5$ by

$9$ and simplify.

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Step 3.2.2.1

Divide each term in

$9 b = 5$ by

$9$ .

$\frac{9 b}{9} = \frac{5}{9}$

Step 3.2.2.2

Simplify the left side.

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Step 3.2.2.2.1

Cancel the common factor of

$9$ .

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Step 3.2.2.2.1.1

Cancel the common factor.

$\frac{9 b}{9} = \frac{5}{9}$

Step 3.2.2.2.1.2

Divide

$b$ by

$1$ .

$b = \frac{5}{9}$

$b = \frac{5}{9}$

$b = \frac{5}{9}$

$b = \frac{5}{9}$

$b = \frac{5}{9}$

$b = \frac{5}{9}$

Step 4

The final solution is all the values that make

$5 b (9 b - 5) = 0$ true.

$b = 0, \frac{5}{9}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$b = 0, \frac{5}{9}$

Decimal Form:

$b = 0, 0.\overline{5}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$