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Simplifying (6 + -4i)(6 + 4i) * equation = 0 Reorder the terms for easier multiplication: aeinoqtu(6 + -4i)(6 + 4i) = 0 Multiply (6 + -4i) * (6 + 4i) aeinoqtu(6(6 + 4i) + -4i * (6 + 4i)) = 0 aeinoqtu((6 * 6 + 4i * 6) + -4i * (6 + 4i)) = 0 aeinoqtu((36 + 24i) + -4i * (6 + 4i)) = 0 aeinoqtu(36 + 24i + (6 * -4i + 4i * -4i)) = 0 aeinoqtu(36 + 24i + (-24i + -16i2)) = 0 Combine like terms: 24i + -24i = 0 aeinoqtu(36 + 0 + -16i2) = 0 aeinoqtu(36 + -16i2) = 0 (36 * aeinoqtu + -16i2 * aeinoqtu) = 0 (36aeinoqtu + -16aei3noqtu) = 0 Solving 36aeinoqtu + -16aei3noqtu = 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), '4aeinoqtu'. 4aeinoqtu(9 + -4i2) = 0 Factor a difference between two squares. 4aeinoqtu((3 + 2i)(3 + -2i)) = 0 Ignore the factor 4.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 '(3 + 2i)' equal to zero and attempt to solve: Simplifying 3 + 2i = 0 Solving 3 + 2i = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2i = 0 + -3 2i = 0 + -3 Combine like terms: 0 + -3 = -3 2i = -3 Add '-2i' to each side of the equation. 2i + -2i = -3 + -2i Combine like terms: 2i + -2i = 0 0 = -3 + -2i Simplifying 0 = -3 + -2i 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 '(3 + -2i)' equal to zero and attempt to solve: Simplifying 3 + -2i = 0 Solving 3 + -2i = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2i = 0 + -3 -2i = 0 + -3 Combine like terms: 0 + -3 = -3 -2i = -3 Add '2i' to each side of the equation. -2i + 2i = -3 + 2i Combine like terms: -2i + 2i = 0 0 = -3 + 2i Simplifying 0 = -3 + 2i 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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