Finite Math Examples

$\frac{z a}{2} = z (0.02)$

Step 1

Multiply both sides by

$2$ .

$\frac{z a}{2} \cdot 2 = z (0.02) \cdot 2$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Cancel the common factor of

$2$ .

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Step 2.1.1.1

Cancel the common factor.

$\frac{z a}{2} \cdot 2 = z (0.02) \cdot 2$

Step 2.1.1.2

Rewrite the expression.

$z a = z (0.02) \cdot 2$

$z a = z (0.02) \cdot 2$

$z a = z (0.02) \cdot 2$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify

$z (0.02) \cdot 2$ .

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Step 2.2.1.1

Move

$0.02$ to the left of

$z$ .

$z a = 0.02 z \cdot 2$

Step 2.2.1.2

Multiply

$2$ by

$0.02$ .

$z a = 0.04 z$

$z a = 0.04 z$

$z a = 0.04 z$

$z a = 0.04 z$

Step 3

Solve for

$z$ .

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Step 3.1

Subtract

$0.04 z$ from both sides of the equation.

$z a - 0.04 z = 0$

Step 3.2

Factor

$z$ out of

$z a - 0.04 z$ .

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Step 3.2.1

Factor

$z$ out of

$z a$ .

$z (a) - 0.04 z = 0$

Step 3.2.2

Factor

$z$ out of

$- 0.04 z$ .

$z (a) + z \cdot - 0.04 = 0$

Step 3.2.3

Factor

$z$ out of

$z (a) + z \cdot - 0.04$ .

$z (a - 0.04) = 0$

$z (a - 0.04) = 0$

Step 3.3

Divide each term in

$z (a - 0.04) = 0$ by

$a - 0.04$ and simplify.

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Step 3.3.1

Divide each term in

$z (a - 0.04) = 0$ by

$a - 0.04$ .

$\frac{z (a - 0.04)}{a - 0.04} = \frac{0}{a - 0.04}$

Step 3.3.2

Simplify the left side.

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Step 3.3.2.1

Cancel the common factor of

$a - 0.04$ .

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Step 3.3.2.1.1

Cancel the common factor.

$\frac{z (a - 0.04)}{a - 0.04} = \frac{0}{a - 0.04}$

Step 3.3.2.1.2

Divide

$z$ by

$1$ .

$z = \frac{0}{a - 0.04}$

$z = \frac{0}{a - 0.04}$

$z = \frac{0}{a - 0.04}$

Step 3.3.3

Simplify the right side.

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Step 3.3.3.1

Divide

$0$ by

$a - 0.04$ .

$z = 0$

$z = 0$

$z = 0$

$z = 0$

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