Algebra Examples

$2 x (x - 3) = 15$

Step 1

Subtract $15$ from both sides of the equation.

$2 x (x - 3) - 15 = 0$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$2 x \cdot x + 2 x \cdot - 3 - 15 = 0$

Step 2.2

Multiply $x$ by $x$ by adding the exponents.

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Step 2.2.1

Move $x$ .

$2 (x \cdot x) + 2 x \cdot - 3 - 15 = 0$

Step 2.2.2

Multiply $x$ by $x$ .

$2 x^{2} + 2 x \cdot - 3 - 15 = 0$

Step 2.3

Multiply $- 3$ by $2$ .

$2 x^{2} - 6 x - 15 = 0$

Step 3

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c = 0$

Step 4

The standard form is $2 x^{2} - 6 x - 15$ .

$2 x^{2} - 6 x - 15 = 0$

Step 5