Basic Math Examples

$7 y^{2} + 2 y = 0$

Step 1

Factor $y$ out of $7 y^{2} + 2 y$ .

Tap for more steps...

Step 1.1

Factor $y$ out of $7 y^{2}$ .

$y (7 y) + 2 y = 0$

Step 1.2

Factor $y$ out of $2 y$ .

$y (7 y) + y \cdot 2 = 0$

Step 1.3

Factor $y$ out of $y (7 y) + y \cdot 2$ .

$y (7 y + 2) = 0$

Step 2

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

$y = 0$

$7 y + 2 = 0$

Step 3

Set $y$ equal to $0$ .

$y = 0$

Step 4

Set $7 y + 2$ equal to $0$ and solve for $y$ .

Tap for more steps...

Step 4.1

Set $7 y + 2$ equal to $0$ .

$7 y + 2 = 0$

Step 4.2

Solve $7 y + 2 = 0$ for $y$ .

Tap for more steps...

Step 4.2.1

Subtract $2$ from both sides of the equation.

$7 y = - 2$

Step 4.2.2

Divide each term in $7 y = - 2$ by $7$ and simplify.

Tap for more steps...

Step 4.2.2.1

Divide each term in $7 y = - 2$ by $7$ .

$\frac{7 y}{7} = \frac{- 2}{7}$

Step 4.2.2.2

Simplify the left side.

Tap for more steps...

Step 4.2.2.2.1

Cancel the common factor of $7$ .

Tap for more steps...

Step 4.2.2.2.1.1

Cancel the common factor.

$\frac{7 y}{7} = \frac{- 2}{7}$

Step 4.2.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 2}{7}$

Step 4.2.2.3

Simplify the right side.

Tap for more steps...

Step 4.2.2.3.1

Move the negative in front of the fraction.

$y = - \frac{2}{7}$

Step 5

The final solution is all the values that make $y (7 y + 2) = 0$ true.

$y = 0, - \frac{2}{7}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$y = 0, - \frac{2}{7}$

Decimal Form:

$y = 0, - 0.\overline{285714}$