Solve 2i(6-7i)

$$2 i ( 6 - 7 i )$$

Evaluate

$$14+12i$$

Solution Steps

Multiply 2i times 6-7i.

$$2i\times 6+2\left(-7\right)i^{2}$$

By definition, i^{2} is -1.

$$2i\times 6+2\left(-7\right)\left(-1\right)$$

Do the multiplications. Reorder the terms.

$$14+12i$$

Real Part

$$14$$

Solution Steps

Multiply 2i times 6-7i.

$$Re(2i\times 6+2\left(-7\right)i^{2})$$

By definition, i^{2} is -1.

$$Re(2i\times 6+2\left(-7\right)\left(-1\right))$$

Do the multiplications in 2i\times 6+2\left(-7\right)\left(-1\right). Reorder the terms.

$$Re(14+12i)$$

The real part of 14+12i is 14.

$$14$$