Solve -0.4(3*10*(-0.4+2*10)-10(4*(-0.4^2)-10

$$-0.4(3 \times 10 \times (-0.4+2 \times 10)-10(4 \times (- { 0.4 }^{ 2 } )-10$$

Evaluate

$$-277.76$$

Solution Steps

Multiply 3 and 10 to get 30.

$$-0.4\left(30\left(-0.4+2\times 10\right)-10\left(4\left(-0.4^{2}\right)-10\right)\right)$$

Multiply 2 and 10 to get 20.

$$-0.4\left(30\left(-0.4+20\right)-10\left(4\left(-0.4^{2}\right)-10\right)\right)$$

Add -0.4 and 20 to get 19.6.

$$-0.4\left(30\times 19.6-10\left(4\left(-0.4^{2}\right)-10\right)\right)$$

Multiply 30 and 19.6 to get 588.

$$-0.4\left(588-10\left(4\left(-0.4^{2}\right)-10\right)\right)$$

Calculate 0.4 to the power of 2 and get 0.16.

$$-0.4\left(588-10\left(4\left(-0.16\right)-10\right)\right)$$

Multiply 4 and -0.16 to get -0.64.

$$-0.4\left(588-10\left(-0.64-10\right)\right)$$

Subtract 10 from -0.64 to get -10.64.

$$-0.4\left(588-10\left(-10.64\right)\right)$$

Multiply 10 and -10.64 to get -106.4.

$$-0.4\left(588-\left(-106.4\right)\right)$$

The opposite of -106.4 is 106.4.

$$-0.4\left(588+106.4\right)$$

Add 588 and 106.4 to get 694.4.

$$-0.4\times 694.4$$

Multiply -0.4 and 694.4 to get -277.76.

$$-277.76$$

Factor

$$-277.76$$