Algebra Examples

$x^{2} = x + 30$

Step 1

Move all the expressions to the left side of the equation.

Tap for more steps...

Step 1.1

Subtract $x$ from both sides of the equation.

$x^{2} - x = 30$

Step 1.2

Subtract $30$ from both sides of the equation.

$x^{2} - x - 30 = 0$

Step 2

Factor $x^{2} - x - 30$ using the AC method.

Tap for more steps...

Step 2.1

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $- 30$ and whose sum is $- 1$ .

$- 6, 5$

Step 2.2

Write the factored form using these integers.

$(x - 6) (x + 5) = 0$