Algebra Examples

$10 z + 90 + 45 = 180$

Step 1

Add $90$ and $45$ .

$10 z + 135 = 180$

Step 2

Move all terms not containing $z$ to the right side of the equation.

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Step 2.1

Subtract $135$ from both sides of the equation.

$10 z = 180 - 135$

Step 2.2

Subtract $135$ from $180$ .

$10 z = 45$

Step 3

Divide each term in $10 z = 45$ by $10$ and simplify.

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Step 3.1

Divide each term in $10 z = 45$ by $10$ .

$\frac{10 z}{10} = \frac{45}{10}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $10$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{10 z}{10} = \frac{45}{10}$

Step 3.2.1.2

Divide $z$ by $1$ .

$z = \frac{45}{10}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Cancel the common factor of $45$ and $10$ .

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Step 3.3.1.1

Factor $5$ out of $45$ .

$z = \frac{5 (9)}{10}$

Step 3.3.1.2

Cancel the common factors.

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Step 3.3.1.2.1

Factor $5$ out of $10$ .

$z = \frac{5 \cdot 9}{5 \cdot 2}$

Step 3.3.1.2.2

Cancel the common factor.

$z = \frac{5 \cdot 9}{5 \cdot 2}$

Step 3.3.1.2.3

Rewrite the expression.

$z = \frac{9}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$z = \frac{9}{2}$

Decimal Form:

$z = 4.5$

Mixed Number Form:

$z = 4 \frac{1}{2}$