Algebra Examples

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

Step 1

Solve the equation for $y$ .

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Step 1.1

Rewrite the equation as $y = - 3 x (x + 2)$ .

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

Step 1.2

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

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Step 1.2.1

Apply the distributive property.

$y = - 3 x \cdot x - 3 x \cdot 2$

Step 1.2.2

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

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Step 1.2.2.1

Move $x$ .

$y = - 3 (x \cdot x) - 3 x \cdot 2$

Step 1.2.2.2

Multiply $x$ by $x$ .

$y = - 3 x^{2} - 3 x \cdot 2$

Step 1.2.3

Multiply $2$ by $- 3$ .

$y = - 3 x^{2} - 6 x$

Step 2

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be $0$ or $1$ for each of its variables. In this case, the degree of variable $y$ is $1$ and the degree of variable $x$ is $2$ .

Not Linear