Solve 186-341(156^2+19634+34^2)/186-34-186*34

$$\frac { 186 - 341 ( 156 ^ { 2 } + 19634 + 34 ^ { 2 } ) } { 186 - 34 } - 186 \cdot 34$$

Evaluate

$$-\frac{4087257}{38}\approx -107559.394736842$$

Solution Steps

Calculate 156 to the power of 2 and get 24336.

$$\frac{186-341\left(24336+19634+34^{2}\right)}{186-34}-186\times 34$$

Add 24336 and 19634 to get 43970.

$$\frac{186-341\left(43970+34^{2}\right)}{186-34}-186\times 34$$

Calculate 34 to the power of 2 and get 1156.

$$\frac{186-341\left(43970+1156\right)}{186-34}-186\times 34$$

Add 43970 and 1156 to get 45126.

$$\frac{186-341\times 45126}{186-34}-186\times 34$$

Multiply 341 and 45126 to get 15387966.

$$\frac{186-15387966}{186-34}-186\times 34$$

Subtract 15387966 from 186 to get -15387780.

$$\frac{-15387780}{186-34}-186\times 34$$

Subtract 34 from 186 to get 152.

$$\frac{-15387780}{152}-186\times 34$$

Reduce the fraction \frac{-15387780}{152} to lowest terms by extracting and canceling out 4.

$$-\frac{3846945}{38}-186\times 34$$

Multiply 186 and 34 to get 6324.

$$-\frac{3846945}{38}-6324$$

Convert 6324 to fraction \frac{240312}{38}.

$$-\frac{3846945}{38}-\frac{240312}{38}$$

Since -\frac{3846945}{38} and \frac{240312}{38} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-3846945-240312}{38}$$

Subtract 240312 from -3846945 to get -4087257.

$$-\frac{4087257}{38}$$

Factor

$$-\frac{4087257}{38} = -107559\frac{15}{38} = -107559.3947368421$$