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.

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

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 $0.02$ .

$z a = 0.04 z$

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

$z (a - 0.04) = 0$

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 $1$ .

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

Step 3.3.3

Simplify the right side.

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Step 3.3.3.1

Divide $0$ by $a - 0.04$ .

$z = 0$