Solve -32(352)^2/150^2+352

$$\frac { - 32 ( 352 ) ^ { 2 } } { 150 ^ { 2 } } + 352$$

Evaluate

$$\frac{988768}{5625}\approx 175.780977778$$

Solution Steps

Calculate 352 to the power of 2 and get 123904.

$$\frac{-32\times 123904}{150^{2}}+352$$

Multiply -32 and 123904 to get -3964928.

$$\frac{-3964928}{150^{2}}+352$$

Calculate 150 to the power of 2 and get 22500.

$$\frac{-3964928}{22500}+352$$

Reduce the fraction \frac{-3964928}{22500} to lowest terms by extracting and canceling out 4.

$$-\frac{991232}{5625}+352$$

Convert 352 to fraction \frac{1980000}{5625}.

$$-\frac{991232}{5625}+\frac{1980000}{5625}$$

Since -\frac{991232}{5625} and \frac{1980000}{5625} have the same denominator, add them by adding their numerators.

$$\frac{-991232+1980000}{5625}$$

Add -991232 and 1980000 to get 988768.

$$\frac{988768}{5625}$$

Factor

$$\frac{2 ^ {5} \cdot 11 \cdot 53 ^ {2}}{3 ^ {2} \cdot 5 ^ {4}} = 175\frac{4393}{5625} = 175.78097777777776$$