Finite Math Examples

$x (x + 3) - 2 = 3 x + 23$

Step 1

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

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Step 1.1

Subtract $3 x$ from both sides of the equation.

$x (x + 3) - 2 - 3 x = 23$

Step 1.2

Subtract $23$ from both sides of the equation.

$x (x + 3) - 2 - 3 x - 23 = 0$

Step 2

Simplify $x (x + 3) - 2 - 3 x - 23$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$x \cdot x + x \cdot 3 - 2 - 3 x - 23 = 0$

Step 2.1.2

Multiply $x$ by $x$ .

$x^{2} + x \cdot 3 - 2 - 3 x - 23 = 0$

Step 2.1.3

Move $3$ to the left of $x$ .

$x^{2} + 3 x - 2 - 3 x - 23 = 0$

Step 2.2

Combine the opposite terms in $x^{2} + 3 x - 2 - 3 x - 23$ .

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Step 2.2.1

Subtract $3 x$ from $3 x$ .

$x^{2} + 0 - 2 - 23 = 0$

Step 2.2.2

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

$x^{2} - 2 - 23 = 0$

Step 2.3

Subtract $23$ from $- 2$ .

$x^{2} - 25 = 0$

Step 3

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.