Solve 2*3.14*4*2*3.14(1.5-4)+4*3.14^2*left(1.5-4right)^2/-2

$$2 \times 3.14 \times 4 \times \frac{ 2 \times 3.14(1.5-4)+4 \times { 3.14 }^{ 2 } \times { \left(1.5-4 \right) }^{ 2 } }{ -2 }$$

Evaluate

$$-2898.7224$$

Solution Steps

Multiply 2 and 3.14 to get 6.28.

$$6.28\times 4\times \frac{2\times 3.14\left(1.5-4\right)+4\times 3.14^{2}\left(1.5-4\right)^{2}}{-2}$$

Multiply 6.28 and 4 to get 25.12.

$$25.12\times \frac{2\times 3.14\left(1.5-4\right)+4\times 3.14^{2}\left(1.5-4\right)^{2}}{-2}$$

Multiply 2 and 3.14 to get 6.28.

$$25.12\times \frac{6.28\left(1.5-4\right)+4\times 3.14^{2}\left(1.5-4\right)^{2}}{-2}$$

Subtract 4 from 1.5 to get -2.5.

$$25.12\times \frac{6.28\left(-2.5\right)+4\times 3.14^{2}\left(1.5-4\right)^{2}}{-2}$$

Multiply 6.28 and -2.5 to get -15.7.

$$25.12\times \frac{-15.7+4\times 3.14^{2}\left(1.5-4\right)^{2}}{-2}$$

Calculate 3.14 to the power of 2 and get 9.8596.

$$25.12\times \frac{-15.7+4\times 9.8596\left(1.5-4\right)^{2}}{-2}$$

Multiply 4 and 9.8596 to get 39.4384.

$$25.12\times \frac{-15.7+39.4384\left(1.5-4\right)^{2}}{-2}$$

Subtract 4 from 1.5 to get -2.5.

$$25.12\times \frac{-15.7+39.4384\left(-2.5\right)^{2}}{-2}$$

Calculate -2.5 to the power of 2 and get 6.25.

$$25.12\times \frac{-15.7+39.4384\times 6.25}{-2}$$

Multiply 39.4384 and 6.25 to get 246.49.

$$25.12\times \frac{-15.7+246.49}{-2}$$

Add -15.7 and 246.49 to get 230.79.

$$25.12\times \frac{230.79}{-2}$$

Expand \frac{230.79}{-2} by multiplying both numerator and the denominator by 100.

$$25.12\times \frac{23079}{-200}$$

Fraction \frac{23079}{-200} can be rewritten as -\frac{23079}{200} by extracting the negative sign.

$$25.12\left(-\frac{23079}{200}\right)$$

Multiply 25.12 and -\frac{23079}{200} to get -\frac{3623403}{1250}.

$$-\frac{3623403}{1250}$$

Factor

$$-2898.7224$$