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Simplifying 12iz2 + 12z + -15i = 0 Reorder the terms: -15i + 12iz2 + 12z = 0 Solving -15i + 12iz2 + 12z = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-12z' to each side of the equation. -15i + 12iz2 + 12z + -12z = 0 + -12z Combine like terms: 12z + -12z = 0 -15i + 12iz2 + 0 = 0 + -12z -15i + 12iz2 = 0 + -12z Remove the zero: -15i + 12iz2 = -12z Combine like terms: -12z + 12z = 0 -15i + 12iz2 + 12z = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-5i + 4iz2 + 4z) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-5i + 4iz2 + 4z)' equal to zero and attempt to solve: Simplifying -5i + 4iz2 + 4z = 0 Solving -5i + 4iz2 + 4z = 0 Move all terms containing i to the left, all other terms to the right. Add '-4z' to each side of the equation. -5i + 4iz2 + 4z + -4z = 0 + -4z Combine like terms: 4z + -4z = 0 -5i + 4iz2 + 0 = 0 + -4z -5i + 4iz2 = 0 + -4z Remove the zero: -5i + 4iz2 = -4z 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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