Trigonometry Examples

$(6 + y) (2 y - 1) = 0$

Step 1

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

$6 + y = 0$

$2 y - 1 = 0$

Step 2

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

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Step 2.1

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

$6 + y = 0$

Step 2.2

Subtract $6$ from both sides of the equation.

$y = - 6$

Step 3

Set $2 y - 1$ equal to $0$ and solve for $y$ .

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Step 3.1

Set $2 y - 1$ equal to $0$ .

$2 y - 1 = 0$

Step 3.2

Solve $2 y - 1 = 0$ for $y$ .

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Step 3.2.1

Add $1$ to both sides of the equation.

$2 y = 1$

Step 3.2.2

Divide each term in $2 y = 1$ by $2$ and simplify.

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Step 3.2.2.1

Divide each term in $2 y = 1$ by $2$ .

$\frac{2 y}{2} = \frac{1}{2}$

Step 3.2.2.2

Simplify the left side.

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Step 3.2.2.2.1

Cancel the common factor of $2$ .

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Step 3.2.2.2.1.1

Cancel the common factor.

$\frac{2 y}{2} = \frac{1}{2}$

Step 3.2.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{1}{2}$

Step 4

The final solution is all the values that make $(6 + y) (2 y - 1) = 0$ true.

$y = - 6, \frac{1}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$y = - 6, \frac{1}{2}$

Decimal Form:

$y = - 6, 0.5$