Evaluate ((7-2^2)+17)/(-14+2*5)

$\frac{(7 - 2^{2}) + 17}{- 14 + 2 \cdot 5}$

Step 1

Simplify the numerator.

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

$\frac{7 - 1 \cdot 4 + 17}{- 14 + 2 \cdot 5}$

Multiply $- 1$ by $4$ .

$\frac{7 - 4 + 17}{- 14 + 2 \cdot 5}$

Subtract $4$ from $7$ .

$\frac{3 + 17}{- 14 + 2 \cdot 5}$

Add $3$ and $17$ .

$\frac{20}{- 14 + 2 \cdot 5}$

$\frac{20}{- 14 + 2 \cdot 5}$

Step 2

Simplify the denominator.

Multiply $2$ by $5$ .

$\frac{20}{- 14 + 10}$

Add $- 14$ and $10$ .

$\frac{20}{- 4}$

$\frac{20}{- 4}$

Step 3

Divide $20$ by $- 4$ .

$- 5$

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