Algebra Examples

$\frac{84}{12} + (5 - 7^{2}) - 72 \div 6 \cdot 2$

Step 1

Remove parentheses.

$\frac{84}{12} + 5 - 7^{2} - 72 \div 6 \cdot 2$

Step 2

Simplify each term.

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Step 2.1

Divide $84$ by $12$ .

$7 + 5 - 7^{2} - 72 \div 6 \cdot 2$

Step 2.2

Raise $7$ to the power of $2$ .

$7 + 5 - 1 \cdot 49 - 72 \div 6 \cdot 2$

Step 2.3

Multiply $- 1$ by $49$ .

$7 + 5 - 49 - 72 \div 6 \cdot 2$

Step 2.4

Cancel the common factor of $2$ .

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Step 2.4.1

Move the leading negative in $- 72 \div 6$ into the numerator.

$7 + 5 - 49 + - 72 \div 6 \cdot 2$

Step 2.4.2

Factor $2$ out of $6$ .

$7 + 5 - 49 + - 72 \div 2 (3) \cdot 2$

Step 2.4.3

Cancel the common factor.

$7 + 5 - 49 + - 72 \div 2 \cdot 3 \cdot 2$

Step 2.4.4

Rewrite the expression.

$7 + 5 - 49 + \frac{- 72}{3}$

$7 + 5 - 49 + \frac{- 72}{3}$

Step 2.5

Divide $- 72$ by $3$ .

$7 + 5 - 49 - 24$

$7 + 5 - 49 - 24$

Step 3

Simplify by adding and subtracting.

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Step 3.1

Add $7$ and $5$ .

$12 - 49 - 24$

Step 3.2

Subtract $49$ from $12$ .

$- 37 - 24$

Step 3.3

Subtract $24$ from $- 37$ .

$- 61$

$- 61$

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