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Simplifying 7i * 3i + -24i + -18i = 0 Reorder the terms for easier multiplication: 7 * 3i * i + -24i + -18i = 0 Multiply 7 * 3 21i * i + -24i + -18i = 0 Multiply i * i 21i2 + -24i + -18i = 0 Reorder the terms: -24i + -18i + 21i2 = 0 Combine like terms: -24i + -18i = -42i -42i + 21i2 = 0 Solving -42i + 21i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '21i'. 21i(-2 + i) = 0 Ignore the factor 21.Subproblem 1
Set the factor 'i' equal to zero and attempt to solve: Simplifying i = 0 Solving i = 0 Move all terms containing i to the left, all other terms to the right. Simplifying i = 0Subproblem 2
Set the factor '(-2 + i)' equal to zero and attempt to solve: Simplifying -2 + i = 0 Solving -2 + i = 0 Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + i = 0 + 2 Combine like terms: -2 + 2 = 0 0 + i = 0 + 2 i = 0 + 2 Combine like terms: 0 + 2 = 2 i = 2 Simplifying i = 2Solution
i = {0, 2}
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