Examples

$y = x (4 - x)$

Step 1

Simplify

$x (4 - x)$ .

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Step 1.1

Simplify by multiplying through.

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Step 1.1.1

Apply the distributive property.

$y = x \cdot 4 + x (- x)$

Step 1.1.2

Reorder.

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Step 1.1.2.1

Move

$4$ to the left of

$x$ .

$y = 4 \cdot x + x (- x)$

Step 1.1.2.2

Rewrite using the commutative property of multiplication.

$y = 4 \cdot x - x \cdot x$

Step 1.2

Multiply

$x$ by

$x$ by adding the exponents.

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Step 1.2.1

Move

$x$ .

$y = 4 x - (x \cdot x)$

Step 1.2.2

Multiply

$x$ by

$x$ .

$y = 4 x - x^{2}$

Step 1.3

Reorder

$4 x$ and

$- x^{2}$ .

$y = - x^{2} + 4 x$

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

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