Solve (-20)+(2(-20)^2-4(4.9)(12))div2(449)

$$( - 20 ) + ( 2 ( - 20 ) ^ { 2 } - 4 ( 4.9 ) ( 12 ) ) \div 2 ( 449 )$$

Evaluate

$$126777.6$$

Solution Steps

Calculate -20 to the power of 2 and get 400.

$$-20+\frac{2\times 400-4\times 4.9\times 12}{2}\times 449$$

Multiply 2 and 400 to get 800.

$$-20+\frac{800-4\times 4.9\times 12}{2}\times 449$$

Multiply 4 and 4.9 to get 19.6.

$$-20+\frac{800-19.6\times 12}{2}\times 449$$

Multiply 19.6 and 12 to get 235.2.

$$-20+\frac{800-235.2}{2}\times 449$$

Subtract 235.2 from 800 to get 564.8.

$$-20+\frac{564.8}{2}\times 449$$

Expand \frac{564.8}{2} by multiplying both numerator and the denominator by 10.

$$-20+\frac{5648}{20}\times 449$$

Reduce the fraction \frac{5648}{20} to lowest terms by extracting and canceling out 4.

$$-20+\frac{1412}{5}\times 449$$

Express \frac{1412}{5}\times 449 as a single fraction.

$$-20+\frac{1412\times 449}{5}$$

Multiply 1412 and 449 to get 633988.

$$-20+\frac{633988}{5}$$

Convert -20 to fraction -\frac{100}{5}.

$$-\frac{100}{5}+\frac{633988}{5}$$

Since -\frac{100}{5} and \frac{633988}{5} have the same denominator, add them by adding their numerators.

$$\frac{-100+633988}{5}$$

Add -100 and 633988 to get 633888.

$$\frac{633888}{5}$$

Factor

$$\frac{31 \cdot 71 \cdot 2 ^ {5} \cdot 3 ^ {2}}{5} = 126777\frac{3}{5} = 126777.6$$