# Solve for z z(2+i)=3-2i

Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify .
Simplify terms.
Simplify each term.
Multiply the numerator and denominator of by the conjugate of to make the denominator real.
Multiply.
Combine.
Simplify the numerator.
Apply the distributive property.
Multiply by .
Multiply by .
Simplify the denominator.
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify.
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Simplify each term.
Rewrite as .
Multiply by .
Split the fraction into two fractions.
Move the negative in front of the fraction.
Multiply the numerator and denominator of by the conjugate of to make the denominator real.
Multiply.
Combine.
Simplify the numerator.
Apply the distributive property.
Multiply by .
Multiply .
Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Simplify each term.
Rewrite as .
Multiply by .
Reorder and .
Simplify the denominator.
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify.
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Simplify each term.
Rewrite as .
Multiply by .
Split the fraction into two fractions.
Simplify each term.
Move the negative in front of the fraction.
Move the negative in front of the fraction.
Combine fractions with similar denominators.
Simplify the numerator.
Subtract from .
Subtract from .
Split the fraction into two fractions.
Move the negative in front of the fraction.
Solve for z z(2+i)=3-2i

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