Pre-Algebra Examples

$x^{2} + 14 x + 49 = 49$

Step 1

Subtract $49$ from both sides of the equation.

$x^{2} + 14 x + 49 - 49 = 0$

Step 2

Combine the opposite terms in $x^{2} + 14 x + 49 - 49$ .

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Step 2.1

Subtract $49$ from $49$ .

$x^{2} + 14 x + 0 = 0$

Step 2.2

Add $x^{2} + 14 x$ and $0$ .

$x^{2} + 14 x = 0$

Step 3

Factor $x$ out of $x^{2} + 14 x$ .

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Step 3.1

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

$x \cdot x + 14 x = 0$

Step 3.2

Factor $x$ out of $14 x$ .

$x \cdot x + x \cdot 14 = 0$

Step 3.3

Factor $x$ out of $x \cdot x + x \cdot 14$ .

$x (x + 14) = 0$

Step 4

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

$x = 0$

$x + 14 = 0$

Step 5

Set $x$ equal to $0$ .

$x = 0$

Step 6

Set $x + 14$ equal to $0$ and solve for $x$ .

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Step 6.1

Set $x + 14$ equal to $0$ .

$x + 14 = 0$

Step 6.2

Subtract $14$ from both sides of the equation.

$x = - 14$

Step 7

The final solution is all the values that make $x (x + 14) = 0$ true.

$x = 0, - 14$