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Simplifying 2iz2 + (10 + 3i) * z + 15 = 0 Reorder the terms for easier multiplication: 2iz2 + z(10 + 3i) + 15 = 0 2iz2 + (10 * z + 3i * z) + 15 = 0 Reorder the terms: 2iz2 + (3iz + 10z) + 15 = 0 2iz2 + (3iz + 10z) + 15 = 0 Reorder the terms: 15 + 3iz + 2iz2 + 10z = 0 Solving 15 + 3iz + 2iz2 + 10z = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 3iz + 2iz2 + -15 + 10z = 0 + -15 Reorder the terms: 15 + -15 + 3iz + 2iz2 + 10z = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 3iz + 2iz2 + 10z = 0 + -15 3iz + 2iz2 + 10z = 0 + -15 Combine like terms: 0 + -15 = -15 3iz + 2iz2 + 10z = -15 Add '-10z' to each side of the equation. 3iz + 2iz2 + 10z + -10z = -15 + -10z Combine like terms: 10z + -10z = 0 3iz + 2iz2 + 0 = -15 + -10z 3iz + 2iz2 = -15 + -10z Reorder the terms: 15 + 3iz + 2iz2 + 10z = -15 + -10z + 15 + 10z Reorder the terms: 15 + 3iz + 2iz2 + 10z = -15 + 15 + -10z + 10z Combine like terms: -15 + 15 = 0 15 + 3iz + 2iz2 + 10z = 0 + -10z + 10z 15 + 3iz + 2iz2 + 10z = -10z + 10z Combine like terms: -10z + 10z = 0 15 + 3iz + 2iz2 + 10z = 0 The solution to this equation could not be determined.
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