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Simplifying 3iz2 + 6z + -15i = 0 Reorder the terms: -15i + 3iz2 + 6z = 0 Solving -15i + 3iz2 + 6z = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6z' to each side of the equation. -15i + 3iz2 + 6z + -6z = 0 + -6z Combine like terms: 6z + -6z = 0 -15i + 3iz2 + 0 = 0 + -6z -15i + 3iz2 = 0 + -6z Remove the zero: -15i + 3iz2 = -6z Combine like terms: -6z + 6z = 0 -15i + 3iz2 + 6z = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-5i + iz2 + 2z) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-5i + iz2 + 2z)' equal to zero and attempt to solve: Simplifying -5i + iz2 + 2z = 0 Solving -5i + iz2 + 2z = 0 Move all terms containing i to the left, all other terms to the right. Add '-2z' to each side of the equation. -5i + iz2 + 2z + -2z = 0 + -2z Combine like terms: 2z + -2z = 0 -5i + iz2 + 0 = 0 + -2z -5i + iz2 = 0 + -2z Remove the zero: -5i + iz2 = -2z 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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