Basic Math Examples

$5 (p - 4) (p + 7) (2 p - 9) = 0$

Step 1

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

$0$ , the entire expression will be equal to

$0$ .

$p - 4 = 0$

$p + 7 = 0$

$2 p - 9 = 0$

Step 2

Set

$p - 4$ equal to

$0$ and solve for

$p$ .

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Step 2.1

Set

$p - 4$ equal to

$0$ .

$p - 4 = 0$

Step 2.2

Add

$4$ to both sides of the equation.

$p = 4$

$p = 4$

Step 3

Set

$p + 7$ equal to

$0$ and solve for

$p$ .

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Step 3.1

Set

$p + 7$ equal to

$0$ .

$p + 7 = 0$

Step 3.2

Subtract

$7$ from both sides of the equation.

$p = - 7$

$p = - 7$

Step 4

Set

$2 p - 9$ equal to

$0$ and solve for

$p$ .

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Step 4.1

Set

$2 p - 9$ equal to

$0$ .

$2 p - 9 = 0$

Step 4.2

Solve

$2 p - 9 = 0$ for

$p$ .

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Step 4.2.1

Add

$9$ to both sides of the equation.

$2 p = 9$

Step 4.2.2

Divide each term in

$2 p = 9$ by

$2$ and simplify.

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Step 4.2.2.1

Divide each term in

$2 p = 9$ by

$2$ .

$\frac{2 p}{2} = \frac{9}{2}$

Step 4.2.2.2

Simplify the left side.

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Step 4.2.2.2.1

Cancel the common factor of

$2$ .

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Step 4.2.2.2.1.1

Cancel the common factor.

$\frac{2 p}{2} = \frac{9}{2}$

Step 4.2.2.2.1.2

Divide

$p$ by

$1$ .

$p = \frac{9}{2}$

$p = \frac{9}{2}$

$p = \frac{9}{2}$

$p = \frac{9}{2}$

$p = \frac{9}{2}$

$p = \frac{9}{2}$

Step 5

The final solution is all the values that make

$5 (p - 4) (p + 7) (2 p - 9) = 0$ true.

$p = 4, - 7, \frac{9}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$p = 4, - 7, \frac{9}{2}$

Decimal Form:

$p = 4, - 7, 4.5$

Mixed Number Form:

$p = 4, - 7, 4 \frac{1}{2}$

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