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Simplifying (3i + 4) * and(-3i + 4) = 0 Reorder the terms: (4 + 3i) * and(-3i + 4) = 0 Reorder the terms: (4 + 3i) * adn(4 + -3i) = 0 Reorder the terms for easier multiplication: adn(4 + 3i)(4 + -3i) = 0 Multiply (4 + 3i) * (4 + -3i) adn(4(4 + -3i) + 3i * (4 + -3i)) = 0 adn((4 * 4 + -3i * 4) + 3i * (4 + -3i)) = 0 adn((16 + -12i) + 3i * (4 + -3i)) = 0 adn(16 + -12i + (4 * 3i + -3i * 3i)) = 0 adn(16 + -12i + (12i + -9i2)) = 0 Combine like terms: -12i + 12i = 0 adn(16 + 0 + -9i2) = 0 adn(16 + -9i2) = 0 (16 * adn + -9i2 * adn) = 0 Reorder the terms: (-9adi2n + 16adn) = 0 (-9adi2n + 16adn) = 0 Solving -9adi2n + 16adn = 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), 'adn'. adn(-9i2 + 16) = 0 Factor a difference between two squares. adn((3i + 4)(-3i + 4)) = 0Subproblem 1
Set the factor 'adn' equal to zero and attempt to solve: Simplifying adn = 0 Solving adn = 0 Move all terms containing a to the left, all other terms to the right. Simplifying adn = 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 '(3i + 4)' equal to zero and attempt to solve: Simplifying 3i + 4 = 0 Reorder the terms: 4 + 3i = 0 Solving 4 + 3i = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3i = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3i = 0 + -4 3i = 0 + -4 Combine like terms: 0 + -4 = -4 3i = -4 Add '-3i' to each side of the equation. 3i + -3i = -4 + -3i Combine like terms: 3i + -3i = 0 0 = -4 + -3i Simplifying 0 = -4 + -3i 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 '(-3i + 4)' equal to zero and attempt to solve: Simplifying -3i + 4 = 0 Reorder the terms: 4 + -3i = 0 Solving 4 + -3i = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3i = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3i = 0 + -4 -3i = 0 + -4 Combine like terms: 0 + -4 = -4 -3i = -4 Add '3i' to each side of the equation. -3i + 3i = -4 + 3i Combine like terms: -3i + 3i = 0 0 = -4 + 3i Simplifying 0 = -4 + 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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