(8-5i)(2+3i)equation=

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Solution for (8-5i)(2+3i)equation= equation:


Simplifying
(8 + -5i)(2 + 3i) * equation = 0

Reorder the terms for easier multiplication:
aeinoqtu(8 + -5i)(2 + 3i) = 0

Multiply (8 + -5i) * (2 + 3i)
aeinoqtu(8(2 + 3i) + -5i * (2 + 3i)) = 0
aeinoqtu((2 * 8 + 3i * 8) + -5i * (2 + 3i)) = 0
aeinoqtu((16 + 24i) + -5i * (2 + 3i)) = 0
aeinoqtu(16 + 24i + (2 * -5i + 3i * -5i)) = 0
aeinoqtu(16 + 24i + (-10i + -15i2)) = 0

Combine like terms: 24i + -10i = 14i
aeinoqtu(16 + 14i + -15i2) = 0
(16 * aeinoqtu + 14i * aeinoqtu + -15i2 * aeinoqtu) = 0
(16aeinoqtu + 14aei2noqtu + -15aei3noqtu) = 0

Solving
16aeinoqtu + 14aei2noqtu + -15aei3noqtu = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), 'aeinoqtu'.
aeinoqtu(16 + 14i + -15i2) = 0

Factor a trinomial.
aeinoqtu((8 + -5i)(2 + 3i)) = 0

Subproblem 1

Set the factor 'aeinoqtu' equal to zero and attempt to solve: Simplifying aeinoqtu = 0 Solving aeinoqtu = 0 Move all terms containing a to the left, all other terms to the right. Simplifying aeinoqtu = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(8 + -5i)' equal to zero and attempt to solve: Simplifying 8 + -5i = 0 Solving 8 + -5i = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5i = 0 + -8 -5i = 0 + -8 Combine like terms: 0 + -8 = -8 -5i = -8 Add '5i' to each side of the equation. -5i + 5i = -8 + 5i Combine like terms: -5i + 5i = 0 0 = -8 + 5i Simplifying 0 = -8 + 5i The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(2 + 3i)' equal to zero and attempt to solve: Simplifying 2 + 3i = 0 Solving 2 + 3i = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3i = 0 + -2 3i = 0 + -2 Combine like terms: 0 + -2 = -2 3i = -2 Add '-3i' to each side of the equation. 3i + -3i = -2 + -3i Combine like terms: 3i + -3i = 0 0 = -2 + -3i Simplifying 0 = -2 + -3i The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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