Evaluate
\left(x+\left(5-0.8i\right)\right)\left(x+\left(5+0.8i\right)\right)
Expand
x^{2}+10x+25.64
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x^{2}+5x-0.8ix+5x+25-4i+0.8ix+4i+0.64
Apply the distributive property by multiplying each term of x+5+0.8i by each term of x+5-0.8i.
x^{2}+5x-0.8ix+5x+0.8ix+25+0.64+\left(-4+4\right)i
Combine the real and imaginary parts.
x^{2}+5x-0.8ix+5x+0.8ix+25.64
Do the additions.
x^{2}+\left(5-0.8i\right)x+5x+0.8ix+25.64
Combine 5x and -0.8ix to get \left(5-0.8i\right)x.
x^{2}+\left(10-0.8i\right)x+0.8ix+25.64
Combine \left(5-0.8i\right)x and 5x to get \left(10-0.8i\right)x.
x^{2}+10x+25.64
Combine \left(10-0.8i\right)x and 0.8ix to get 10x.
x^{2}+5x-0.8ix+5x+25-4i+0.8ix+4i+0.64
Apply the distributive property by multiplying each term of x+5+0.8i by each term of x+5-0.8i.
x^{2}+5x-0.8ix+5x+0.8ix+25+0.64+\left(-4+4\right)i
Combine the real and imaginary parts.
x^{2}+5x-0.8ix+5x+0.8ix+25.64
Do the additions.
x^{2}+\left(5-0.8i\right)x+5x+0.8ix+25.64
Combine 5x and -0.8ix to get \left(5-0.8i\right)x.
x^{2}+\left(10-0.8i\right)x+0.8ix+25.64
Combine \left(5-0.8i\right)x and 5x to get \left(10-0.8i\right)x.
x^{2}+10x+25.64
Combine \left(10-0.8i\right)x and 0.8ix to get 10x.
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