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Simplifying 3iz2 + 12z = 39i Solving 3iz2 + 12z = 39i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-39i' to each side of the equation. 3iz2 + -39i + 12z = 39i + -39i Reorder the terms: -39i + 3iz2 + 12z = 39i + -39i Combine like terms: 39i + -39i = 0 -39i + 3iz2 + 12z = 0 Add '-12z' to each side of the equation. -39i + 3iz2 + 12z + -12z = 0 + -12z Combine like terms: 12z + -12z = 0 -39i + 3iz2 + 0 = 0 + -12z -39i + 3iz2 = 0 + -12z Remove the zero: -39i + 3iz2 = -12z Combine like terms: -12z + 12z = 0 -39i + 3iz2 + 12z = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-13i + iz2 + 4z) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-13i + iz2 + 4z)' equal to zero and attempt to solve: Simplifying -13i + iz2 + 4z = 0 Solving -13i + iz2 + 4z = 0 Move all terms containing i to the left, all other terms to the right. Add '-4z' to each side of the equation. -13i + iz2 + 4z + -4z = 0 + -4z Combine like terms: 4z + -4z = 0 -13i + iz2 + 0 = 0 + -4z -13i + iz2 = 0 + -4z Remove the zero: -13i + iz2 = -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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