Solve c=2i(i+1)+2i(2+i)

$$c = 2 i ( i + 1 ) + 2 i ( 2 + i )$$

Solve for c

$$c=-4+6i$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2i by i+1.

$$c=-2+2i+2i\left(2+i\right)$$

Multiply 2i times 2+i.

$$c=-2+2i+2i\times 2+2i^{2}$$

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

$$c=-2+2i+2i\times 2+2\left(-1\right)$$

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

$$c=-2+2i+\left(-2+4i\right)$$

Combine the real and imaginary parts in -2+2i-2+4i.

$$c=-2-2+\left(2+4\right)i$$

Do the additions in -2-2+\left(2+4\right)i.

$$c=-4+6i$$

Assign c

$$c≔-4+6i$$