Finite Math Examples

$(4 y - 1) (y + 2) = 0$

Step 1

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

$4 y - 1 = 0$

$y + 2 = 0$

Step 2

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

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Step 2.1

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

$4 y - 1 = 0$

Step 2.2

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

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Step 2.2.1

Add $1$ to both sides of the equation.

$4 y = 1$

Step 2.2.2

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

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Step 2.2.2.1

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

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

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.

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

Step 2.2.2.2.1.2

Divide $y$ by $1$ .

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

Step 3

Set $y + 2$ equal to $0$ and solve for $y$ .

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Step 3.1

Set $y + 2$ equal to $0$ .

$y + 2 = 0$

Step 3.2

Subtract $2$ from both sides of the equation.

$y = - 2$

Step 4

The final solution is all the values that make $(4 y - 1) (y + 2) = 0$ true.

$y = \frac{1}{4}, - 2$