Algebra Examples

$x^{2} + 3 x (x - 2) = 5$

Step 1

Subtract $5$ from both sides of the equation.

$x^{2} + 3 x (x - 2) - 5 = 0$

Step 2

Simplify $x^{2} + 3 x (x - 2) - 5$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$x^{2} + 3 x \cdot x + 3 x \cdot - 2 - 5 = 0$

Step 2.1.2

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

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Step 2.1.2.1

Move $x$ .

$x^{2} + 3 (x \cdot x) + 3 x \cdot - 2 - 5 = 0$

Step 2.1.2.2

Multiply $x$ by $x$ .

$x^{2} + 3 x^{2} + 3 x \cdot - 2 - 5 = 0$

Step 2.1.3

Multiply $- 2$ by $3$ .

$x^{2} + 3 x^{2} - 6 x - 5 = 0$

Step 2.2

Add $x^{2}$ and $3 x^{2}$ .

$4 x^{2} - 6 x - 5 = 0$

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 $4 x^{2} - 6 x - 5$ .

$4 x^{2} - 6 x - 5 = 0$

Step 5