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Simplifying (4 + -3i)(4 + -3i) = 0 Multiply (4 + -3i) * (4 + -3i) (4(4 + -3i) + -3i * (4 + -3i)) = 0 ((4 * 4 + -3i * 4) + -3i * (4 + -3i)) = 0 ((16 + -12i) + -3i * (4 + -3i)) = 0 (16 + -12i + (4 * -3i + -3i * -3i)) = 0 (16 + -12i + (-12i + 9i2)) = 0 Combine like terms: -12i + -12i = -24i (16 + -24i + 9i2) = 0 Solving 16 + -24i + 9i2 = 0 Solving for variable 'i'. Factor a trinomial. (4 + -3i)(4 + -3i) = 0Subproblem 1
Set the factor '(4 + -3i)' equal to zero and attempt to solve: Simplifying 4 + -3i = 0 Solving 4 + -3i = 0 Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3i = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3i = 0 + -4 -3i = 0 + -4 Combine like terms: 0 + -4 = -4 -3i = -4 Divide each side by '-3'. i = 1.333333333 Simplifying i = 1.333333333Subproblem 2
Set the factor '(4 + -3i)' equal to zero and attempt to solve: Simplifying 4 + -3i = 0 Solving 4 + -3i = 0 Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3i = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3i = 0 + -4 -3i = 0 + -4 Combine like terms: 0 + -4 = -4 -3i = -4 Divide each side by '-3'. i = 1.333333333 Simplifying i = 1.333333333Solution
i = {1.333333333, 1.333333333}
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