Trigonometry Examples

$(4 p - 1) (p - 4) = 0$

Step 1

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

$4 p - 1 = 0$

$p - 4 = 0$

Step 2

Set $4 p - 1$ equal to $0$ and solve for $p$ .

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Step 2.1

Set $4 p - 1$ equal to $0$ .

$4 p - 1 = 0$

Step 2.2

Solve $4 p - 1 = 0$ for $p$ .

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Step 2.2.1

Add $1$ to both sides of the equation.

$4 p = 1$

Step 2.2.2

Divide each term in $4 p = 1$ by $4$ and simplify.

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Step 2.2.2.1

Divide each term in $4 p = 1$ by $4$ .

$\frac{4 p}{4} = \frac{1}{4}$

Step 2.2.2.2

Simplify the left side.

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Step 2.2.2.2.1

Cancel the common factor of $4$ .

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Step 2.2.2.2.1.1

Cancel the common factor.

$\frac{4 p}{4} = \frac{1}{4}$

Step 2.2.2.2.1.2

Divide $p$ by $1$ .

$p = \frac{1}{4}$

Step 3

Set $p - 4$ equal to $0$ and solve for $p$ .

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Step 3.1

Set $p - 4$ equal to $0$ .

$p - 4 = 0$

Step 3.2

Add $4$ to both sides of the equation.

$p = 4$

Step 4

The final solution is all the values that make $(4 p - 1) (p - 4) = 0$ true.

$p = \frac{1}{4}, 4$

Step 5

The result can be shown in multiple forms.

Exact Form:

$p = \frac{1}{4}, 4$

Decimal Form:

$p = 0.25, 4$