Algebra Examples

$x^{2} + 18 = 9 x$

Step 1

Subtract $9 x$ from both sides of the equation.

$x^{2} + 18 - 9 x = 0$

Step 2

Factor $x^{2} + 18 - 9 x$ using the AC method.

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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 $18$ and whose sum is $- 9$ .

$- 6, - 3$

Step 2.2

Write the factored form using these integers.

$(x - 6) (x - 3) = 0$