Basic Math Examples

$y^{2} + 10 y + 25 = 25$

Step 1

Subtract $25$ from both sides of the equation.

$y^{2} + 10 y + 25 - 25 = 0$

Step 2

Combine the opposite terms in $y^{2} + 10 y + 25 - 25$ .

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Step 2.1

Subtract $25$ from $25$ .

$y^{2} + 10 y + 0 = 0$

Step 2.2

Add $y^{2} + 10 y$ and $0$ .

$y^{2} + 10 y = 0$

Step 3

Factor $y$ out of $y^{2} + 10 y$ .

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Step 3.1

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

$y \cdot y + 10 y = 0$

Step 3.2

Factor $y$ out of $10 y$ .

$y \cdot y + y \cdot 10 = 0$

Step 3.3

Factor $y$ out of $y \cdot y + y \cdot 10$ .

$y (y + 10) = 0$

Step 4

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

$y = 0$

$y + 10 = 0$

Step 5

Set $y$ equal to $0$ .

$y = 0$

Step 6

Set $y + 10$ equal to $0$ and solve for $y$ .

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Step 6.1

Set $y + 10$ equal to $0$ .

$y + 10 = 0$

Step 6.2

Subtract $10$ from both sides of the equation.

$y = - 10$

Step 7

The final solution is all the values that make $y (y + 10) = 0$ true.

$y = 0, - 10$