Finite Math Examples

$C (x) = 105 x + 450$

Step 1

Set $105 x + 450$ equal to $0$ .

$105 x + 450 = 0$

Step 2

Solve for $x$ .

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Step 2.1

Subtract $450$ from both sides of the equation.

$105 x = - 450$

Step 2.2

Divide each term in $105 x = - 450$ by $105$ and simplify.

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Step 2.2.1

Divide each term in $105 x = - 450$ by $105$ .

$\frac{105 x}{105} = \frac{- 450}{105}$

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of $105$ .

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Step 2.2.2.1.1

Cancel the common factor.

$\frac{105 x}{105} = \frac{- 450}{105}$

Step 2.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 450}{105}$

$x = \frac{- 450}{105}$

$x = \frac{- 450}{105}$

Step 2.2.3

Simplify the right side.

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Step 2.2.3.1

Cancel the common factor of $- 450$ and $105$ .

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Step 2.2.3.1.1

Factor $15$ out of $- 450$ .

$x = \frac{15 (- 30)}{105}$

Step 2.2.3.1.2

Cancel the common factors.

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Step 2.2.3.1.2.1

Factor $15$ out of $105$ .

$x = \frac{15 \cdot - 30}{15 \cdot 7}$

Step 2.2.3.1.2.2

Cancel the common factor.

$x = \frac{15 \cdot - 30}{15 \cdot 7}$

Step 2.2.3.1.2.3

Rewrite the expression.

$x = \frac{- 30}{7}$

$x = \frac{- 30}{7}$

$x = \frac{- 30}{7}$

Step 2.2.3.2

Move the negative in front of the fraction.

$x = - \frac{30}{7}$

$x = - \frac{30}{7}$

$x = - \frac{30}{7}$

$x = - \frac{30}{7}$

Step 3

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$