Finite Math Examples

$x = u (\frac{u \cdot (1 - u)}{s} - 1)$

Step 1

Simplify $u (\frac{u \cdot (1 - u)}{s} - 1)$ .

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Step 1.1

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{s}{s}$ .

$x = u (\frac{u (1 - u)}{s} - 1 \cdot \frac{s}{s})$

Step 1.2

Simplify terms.

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Step 1.2.1

Combine $- 1$ and $\frac{s}{s}$ .

$x = u (\frac{u (1 - u)}{s} + \frac{- s}{s})$

Step 1.2.2

Combine the numerators over the common denominator.

$x = u (\frac{u (1 - u) - s}{s})$

Step 1.3

Simplify the numerator.

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Step 1.3.1

Apply the distributive property.

$x = u (\frac{u \cdot 1 + u (- u) - s}{s})$

Step 1.3.2

Multiply $u$ by $1$ .

$x = u (\frac{u + u (- u) - s}{s})$

Step 1.3.3

Rewrite using the commutative property of multiplication.

$x = u (\frac{u - u \cdot u - s}{s})$

Step 1.3.4

Multiply $u$ by $u$ by adding the exponents.

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Step 1.3.4.1

Move $u$ .

$x = u (\frac{u - (u \cdot u) - s}{s})$

Step 1.3.4.2

Multiply $u$ by $u$ .

$x = u (\frac{u - u^{2} - s}{s})$

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 $x$ is $1$ , the degree of variable $u$ is $3$ , the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.

Not Linear